Absolute Value Equation Solver

Enter a in |ax+b|=c.
Enter b.
Enter c.
Math

Absolute Value Equation Solver: calculate results from explicit inputs, with a formula and worked example.

Formula

For c≥0 solve ax+b=c and ax+b=−c; c<0 has no real solutions.

Example Calculation

Example inputs
  • a in |ax+b|=c: 2
  • b: -4
  • c: 6

|2x−4|=6 gives x=−1 or x=5.

Frequently asked questions

How do I use this calculator?

Enter a in |ax+b|=c, b, c. The result updates automatically. Use Reset to restore the example values.

What method does it use?

For c≥0 solve ax+b=c and ax+b=−c; c<0 has no real solutions.. Real finite inputs. Numeric results use floating-point arithmetic; this is not a symbolic computer algebra system.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.