About Solve for X Calculator
Solving an equation means finding the values of x that make it true. This page opens with x^2 - 5x + 6 = 0, which has the solutions x = 2 and x = 3. It is free, needs no sign-up and runs in your browser, so nothing you enter is uploaded.
The quadratic factors as (x - 2)(x - 3), and a product is zero only when a factor is zero. The same answer comes from the quadratic formula, with discriminant 25 - 24 = 1.
The graph shows the curve for the left side minus the right side, and the solutions are the points where it crosses the x axis. They are marked on the graph.
How to use Solve for X Calculator
- Pick a mode: Simplify, Expand, Factor or Solve.
- Type the expression in the box, for example (x+2)^3, or use the key pad. For Solve, include an equals sign.
- Read the result card for the answer in proper notation.
- Open the steps to see each move, such as expanding, combining terms or cancelling a factor.
- Look at the graph to confirm the result: the input and the answer lie on the same curve, and roots sit on the x axis.
- Copy the answer with the copy button, or switch modes to carry the same expression into another operation.
Features
- Simplify: combines like terms and powers and cancels common factors in fractions.
- Expand: multiplies out products and powers of sums.
- Factor: writes a polynomial in one variable as a product of simpler factors.
- Solve: finds the real and complex roots of a polynomial equation in x.
- Step-by-step working for every mode.
- A graph of the input and the result, with solutions marked on the axis.
- A live preview and a math key pad, so input is easy on a phone.
- Clear errors for input that cannot be read.
Worked examples
x^2 - 5x + 6 = 0 gives x = 2, x = 3
Factor (x - 2)(x - 3).
Privacy: how it works
- The algebra is done by code running in your browser tab. Your expressions are not sent to Ulkaa or to any other server, and there is nothing to sign in to.
Tips
- Use * for products when you can: 4*x is unambiguous.
- Check a factored form by switching to Expand and typing it in. You should get the original polynomial.
- To solve a quadratic, put every term on one side so the equation ends in = 0, or let the calculator move the terms.
- Powers use ^, so x squared is x^2 and the square root of x is sqrt(x).
Frequently asked questions
Is it really free?
Yes. There is no price, no trial and no credit card. Ulkaa Tool does the work with your own device, so there is no server bill to pass on to you.
Do I need an account?
No. There is no sign-up and no login. Open the page and use it. An Ulkaa account is not needed for anything on this tool.
Does it run in my browser?
Yes. Your expressions are processed by code running in your browser tab, on your own device.
Is my data uploaded?
No. Your expressions are never sent to Ulkaa or to anyone else. You can check this yourself by watching the Network tab in your browser developer tools while you use the tool.
What are the solutions of x^2 - 5x + 6 = 0?
They are x = 2 and x = 3. The equation factors as (x - 2)(x - 3) = 0.
How do I solve for x in other equations?
Type the equation with an equals sign. If the equation is a polynomial, the calculator lists its real and complex roots.
How can I check a solution?
Substitute it back. For x = 2, the equation gives 4 - 10 + 6 = 0, which is true.
More Algebra Calculator pages
- Algebra CalculatorSimplify, expand, factor or solve an expression, with the working shown and a graph.
- Simplify CalculatorCombine like terms, tidy powers and cancel common factors, with every move shown.
- Expand CalculatorMultiply out brackets and powers of sums into a polynomial, with the working shown.
- Factor CalculatorWrite a polynomial as a product of simpler factors, with the working shown.