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Absolute Value Equation Solver

Enter the coefficients a, b and c to solve |a·x + b| = c — with both solutions, the number of solutions, the two branch equations, and full step-by-step working.

Standard form:  |a·x + b| = c  ⟹  a·x + b = ±c
| a x + b | = c

Solving |a·x + b| = c. If c < 0 there is no solution; if c = 0 there is one; otherwise two. Decimals are fine.

Results

Solution
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Solution 1
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Solution 2
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Number of solutions
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The two branch equations
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Step-by-step