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Absolute-Value Linear Equation Calculator — result sheet
Solve an equation of the form absolute value of a times x plus b equals c.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: |a×x+b|=c gives x=(−b+c)/a and x=(−b−c)/a for a≠0 and c≥0.
Both branches are returned so the absolute-value split is visible instead of hiding one solution.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Coefficient a — minimum -1000000; maximum 1000000
- Constant b — minimum -1000000; maximum 1000000
- Absolute-value result c — minimum 0; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Coefficient a | 2 |
| Constant b | -6 |
| Absolute-value result c | 4 |
Solutions x=5 and x=1.
Assumptions and limits
- The coefficient a is nonzero and c is nonnegative.
- The equation is over real numbers.
- Symbolic expressions, inequalities, complex roots, and downstream domain restrictions are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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