🎁Free Tools Forever • No Registration • Results in Seconds
Utilities

Equation Solver

Solve linear and quadratic equations step by step — enter the numbers and see every move, from the discriminant to the final answer.

Advertisement
Loading tool…
Advertisement
Advertisement

More Utilities Tools

How the Equation Solver Works

Pick the equation type, then enter a, b and c. For a linear equation ax + b = c, the solver moves the constant to the other side and divides by the coefficient of x, showing each move. For a quadratic equation ax² + bx + c = 0, it first works out the discriminant b² - 4ac, which tells you whether there are two, one or no real solutions, then applies the quadratic formula and shows the substitution.

Every answer is checked by putting x back into the original equation — the left side must equal the right side. If a is 0 in a quadratic, the x² term disappears and the solver treats it as a linear equation instead. Try the examples: 2x + 5 = 17 gives x = 6, and x² - 5x + 6 = 0 gives x = 3 or x = 2.

Frequently Asked Questions

How do you solve a linear equation?
Move the constant to the other side, then divide by the coefficient of x. For ax + b = c, first get ax = c - b, then x = (c - b) / a. The solver shows each of these moves so you can follow the working.
How do you solve a quadratic equation?
Use the discriminant D = b^2 - 4ac. If D is positive there are two real solutions, if D is zero there is one repeated solution, and if D is negative there are no real solutions. The solutions come from the quadratic formula x = (-b +/- sqrt(D)) / 2a.
What is the discriminant?
The discriminant is b^2 - 4ac. It tells you how many real solutions a quadratic equation has before you finish solving it: a positive discriminant means two solutions, zero means one, and a negative discriminant means none.

Look for another tool