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Absolute Value Equation Calculator

Math
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Solves equations involving absolute value expressions.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Coefficient 'a' of |ax + b|, Coefficient 'b' of |ax + b|, and Constant 'c' in |ax + b| = c in the units shown.

Step 2

Read Solution 2 (If exists) and Solution 1 (If exists) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Basic Example

Coefficient 'a' of |ax + b|: 1; Coefficient 'b' of |ax + b|: 2; Constant 'c' in |ax + b| = c: 5

Solution 2 (If exists): -7; Solution 1 (If exists): 3

No Solution Example

Coefficient 'a' of |ax + b|: 1; Coefficient 'b' of |ax + b|: 2; Constant 'c' in |ax + b| = c: -1

Solution 2 (If exists): No Solution; Solution 1 (If exists): No Solution

All Real Numbers Example

Coefficient 'a' of |ax + b|: 0; Coefficient 'b' of |ax + b|: 3; Constant 'c' in |ax + b| = c: 3

Solution 2 (If exists): No Solution; Solution 1 (If exists): All Real Numbers

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