Equation Solvers

Solve linear, quadratic, cubic equations.

ax + b = 0

About this tool

The Equation Solver is a comprehensive algebraic tool designed to find the roots (solutions) for various types of polynomial equations. It's an invaluable resource for students, engineers, and scientists who frequently need to solve for unknown variables. The calculator is organized into tabs, allowing you to choose the type of equation you are working with: Linear, Quadratic, or Cubic. The 'Linear' tab is for solving first-degree equations of the form ax + b = 0. This is the simplest type of algebraic equation. You just need to input the values for the coefficients 'a' and 'b', and the calculator will find the single value of 'x' that satisfies the equation. The 'Quadratic' tab handles second-degree equations, which have the form ax² + bx + c = 0. After you enter the coefficients 'a', 'b', and 'c', the calculator will use the quadratic formula to find the roots. It can provide two distinct real roots, a single real root, or two complex conjugate roots, depending on the value of the discriminant. The 'Cubic' tab is for solving third-degree equations of the form ax³ + bx² + cx + d = 0. Solving cubic equations can be quite complex manually, but this tool handles it with ease. Simply enter the four coefficients, and the calculator will compute the three roots of the equation, which can be a combination of real and complex numbers. This makes it a powerful tool for more advanced mathematical problems.