|x|

Absolute Value Equation Calculator

Solve absolute value equations like |x| = 5 or |2x - 3| = 7

Expression inside absolute value (e.g., x, 2x - 3, -3x + 5)

Equals (constant value)

Basic Form

|x| = c has solutions x = c and x = -c

When c ≥ 0

No Solution

|x| = c has no solution when c < 0

Absolute value is always non-negative

General Form

|ax + b| = c

Solve: ax + b = c and ax + b = -c

Zero Case

|x| = 0 only when x = 0

Unique solution at zero

Distance Problems

• Finding points equidistant from origin

• Tolerance calculations

• Error margins

Physics

• Displacement magnitude

• Velocity problems

• Energy calculations

Algebra

• Solving equations

• Finding critical points

• Optimization problems