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Equation Solver

Solve linear and quadratic equations step by step.
Enter your equation coefficients to find the solution with detailed working.

Solution

Linear Equation: ax + b = 0

x = -b / a

Quadratic Equation: ax² + bx + c = 0

x = (-b ± √(b² - 4ac)) / 2a

System of Two Linear Equations:

a₁x + b₁y = c₁ a₂x + b₂y = c₂

Solved using Cramer’s Rule or substitution.

Tips:

  • A linear equation has exactly 1 solution (if a ≠ 0)
  • A quadratic can have 0, 1, or 2 real solutions depending on the discriminant
  • The discriminant (b²-4ac) tells you how many real solutions exist

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