Solve linear, quadratic, and system of equations with step-by-step solutions
Example: 2x - 6 = 0
Solution: x = 3
One solution
Discriminant: D = b² - 4ac
An equation is a statement that asserts the equality of two expressions.
Our free equation solver helps students, teachers, and professionals solve mathematical equations instantly with step-by-step solutions. Solve linear equations, quadratic equations, systems of equations, and more with detailed explanations of each solving step.
Perfect for math homework, exam preparation, engineering calculations, and scientific research. Understand the methodology behind solutions rather than just getting answers, making it an invaluable learning tool.
Solve linear equations, quadratic equations, systems of equations (2x2, 3x3), polynomial equations, and more with specialized algorithms for each type.
Learn the solving methodology with detailed explanations for each step, including algebraic manipulations, factoring, and solution verification.
Access different solving techniques including substitution, elimination, graphing, quadratic formula, factoring, and completing the square.
Automatically verify solutions by substituting back into original equations, ensuring accuracy and building confidence in results.
Used by students, teachers, engineers, and researchers worldwide for accurate equation solving and mathematical problem-solving.
Our solver handles linear equations (ax + b = 0), quadratic equations (ax² + bx + c = 0), systems of linear equations (2x2, 3x3), polynomial equations up to 4th degree, and rational equations. Each type uses specialized solving algorithms.
The step-by-step solution breaks down the solving process into individual algebraic steps with explanations. For example: "Step 1: Subtract 5 from both sides," "Step 2: Divide both sides by 2," showing the reasoning behind each operation.
Yes! Our solver can handle systems of equations with 2 or 3 variables using methods like substitution, elimination, or matrix operations. It provides solutions as ordered pairs or triples (x,y) or (x,y,z).
Our solver correctly identifies no solution (inconsistent equations) and infinite solutions (dependent equations) cases. It explains why these situations occur and provides the appropriate mathematical conclusion.
Solutions are mathematically precise using exact fractions and radicals where appropriate. For decimal approximations, we provide results to sufficient precision and show the exact form alongside decimal equivalents.