Type an algebra problem or upload a photo of the page and follow the working line by line, with the rule named at every step.
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This free AI algebra solver works through linear and quadratic equations, systems, factoring, rational expressions, exponents and inequalities one line at a time. Type the problem, paste it, or upload a photo of the page.
Algebra is the subject where the final answer is worth the least on its own. Knowing that x = 12 tells you nothing about which term was moved across the equals sign, why both sides were divided by the same number, or whether the equation had a second solution you dropped. Every step here names the operation applied and shows the line it produces.
That makes the working checkable. Hold it next to your own solution, find the first line where the two differ, and ask a follow-up about that one step rather than starting the problem over.
The operation is named before the next line appears.
The four groups most algebra courses are built from, whether you are in Algebra 1, Algebra 2 or an introductory college algebra class.
Once the algebra turns into a derivative or an integral, the AI calculus solver takes it from there; matrices, row reduction and eigenvalues belong to the linear algebra solver.
2x^2 - 5x - 3 = 0 → x = 3 or x = -1/2
Factoring2x + y = 11 and x - y = 1 → (4, 3)
Elimination4 - 3x > 13 → x < -3
Inequality, sign flippedA quadratic equation can be solved three different ways. The solver picks one, says why it fits the coefficients in front of it, and works it through — the same judgement the exam expects you to make.
Quickest when the quadratic splits over the integers. For 2x^2 - 5x - 3 = 0, look for two numbers multiplying to (2)(-3) = -6 and adding to -5: they are -6 and 1. Split the middle term into -6x + x, group into 2x(x - 3) + 1(x - 3), and factor out (x - 3)(2x + 1) = 0. The zero-product rule gives x = 3 and x = -1/2.
The method to reach for when the question asks for vertex form or the factors are not obvious. Divide through by the leading coefficient, halve the coefficient of x, square it, and add it to both sides. For x^2 + 6x - 7 = 0 that is x^2 + 6x + 9 = 16, so (x + 3)^2 = 16 and x = 1 or x = -7. The same steps are what derive the quadratic formula in the first place.
Always works: x = (-b ± sqrt(b^2 - 4ac)) / 2a. For 2x^2 - 5x - 3 = 0, the discriminant b^2 - 4ac = 25 + 24 = 49, a perfect square, which is exactly the signal that the equation would have factored. A negative discriminant means no real solution, and a discriminant of zero means one repeated root.
The discriminant is the thing worth checking first: it tells you how many real solutions exist before you commit to a method.
Upload a photo of the page and the solver reads the expression from the image before solving it. Superscripts, fraction bars, radicals and the difference between a minus sign and a subtraction are all read off the page, so you do not have to retype an equation into plain text and hope the notation survives.
Handwritten working is read the same way. That is what makes it useful for checking: photograph the four lines you wrote, and the solver compares them against its own rather than starting from a clean sheet.
When part of an equation is cut off or unreadable, the solver asks for it rather than guessing a coefficient — a wrong number quietly invalidates every line after it.
Most of the marks lost on an algebra word problem are lost before any algebra happens, in the translation from a sentence into an equation. The solver does that step out loud: it names what the variable stands for, writes the relationship the sentence describes, and only then starts rearranging.
Take a classic: two numbers differ by 4 and their sum is 26. Let the smaller be x, so the larger is x + 4. The sum gives x + (x + 4) = 26, which is 2x + 4 = 26, so x = 11 and the numbers are 11 and 15. The algebra is two lines; the setup is the part worth seeing written down.
Twice a number, decreased by 7, is 15 → 2x - 7 = 15
An answer that disagrees with yours tells you only that something went wrong, not where. Paste or photograph your own working next to the problem and ask where the two solutions diverge.
In algebra the divergence is usually one of a handful of things: a sign lost when a bracket was expanded, the inequality sign not flipped after dividing by a negative, one side of the equation multiplied but not the other, or a solution that has to be discarded because it makes a denominator zero. The solver traces your steps against its own and points at the first line that differs.
-3x > 9, so x > -3
-3x > 9, so x < -3
The first line where the two solutions differ.
The same solver covers both ends of the sequence — the difference is which topics show up, not how the working is written.
Where the rules of rearranging are still being learned, so every line is shown rather than compressed. Negative numbers, fractions in an equation and the order of operations cause most of the lost marks here.
Where the equations stop being linear and the checks start mattering: extraneous roots from squaring both sides, domains that exclude a value, and inequalities whose solution is a union of intervals.
Our AI algebra calculator isn't about getting quick answers—it's about building genuine mathematical skills. When you encounter a challenging polynomial equation, use our step-by-step breakdowns to understand why each transformation works. Compare your manual solutions with our detailed explanations to identify knowledge gaps. Practice with similar problems using our generated examples, then verify your approach. The real value lies in analyzing the solution patterns: How do quadratic formulas apply across different contexts? What makes one factoring method more efficient than another? Use this tool to explore "what if" scenarios—change coefficients and observe how solutions shift. This deeper engagement transforms confusion into confidence, preparing you for exams where you'll solve problems independently, armed with true comprehension rather than memorized steps.
Which method solves x^2 - 9x + 20 = 0 fastest?
Most searches for algebra help happen late, with twenty exercises left and a deadline in the morning. A solver that is awake then is worth more than one that is thorough on Monday.
Work a problem set through one question at a time, ask for the same equation explained a different way, or have the solver generate extra practice on whichever topic keeps costing you marks — factoring one week, rational equations the next. Follow-ups stay in the same chat, so the equation does not have to be typed again.
Working through a specific calculation? These free tools solve one step at a time and show the working, so you can check each number against your own.
Every one of these shows the intermediate values, not just the result — the same reason the algebra solver writes the steps out.
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When does 11 + 3 = 2?
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