Linear Equation Calculator
Solve a linear equation of the form a x + b = 0 for x, where x = -b / a. Enter the coefficient a and constant b to get the solution.
What this calculator does
The Linear Equation Calculator estimates your result instantly from the values you enter, using standard math & conversions formulas. Solve a linear equation of the form a x + b = 0 for x, where x = -b / a. Enter the coefficient a and constant b to get the solution. Calculations run in your browser, so nothing you type is sent to a server, and the output is an estimate rather than a certified or official figure.
Result
About Linear Equation Calculator
This calculator solves a single linear equation written as a·x + b = 0. Rearranging gives the solution x = −b / a. Enter the coefficient of x and the constant term.
The coefficient a must be nonzero; if a is zero the equation is not linear in x and the tool asks you to change it.
Formula & Mathematical Calculation
Solution x = f(a (coefficient of x), b (constant))
Calculated according to standard math formulas implemented in the calculator core.
Calculation Example
Enter a = 2 and b = -6. The tool solves 2x − 6 = 0 as x = −(−6) / 2 = 6 / 2 = 3.
Key Benefits
- Solves any equation of the form ax + b = 0
- Applies the formula x = -b/a directly
- Guards against a nonsensical zero coefficient
- Shows the solution to six decimals
How to Use this Calculator
-
Enter coefficient a
Type the coefficient of x into the a (coefficient of x) field. -
Enter constant b
Type the constant term into the b (constant) field. -
Calculate
Select Calculate to read the Solution x box.
Assumptions & Limitations
What the calculation assumes
- Every value you enter is treated as an exact, known amount.
- Any rate or interval you enter is assumed to hold for the whole period unless the form asks for it separately.
- Results use standard published formulas and account only for the values entered above.
- Rounding is applied for display; the underlying calculation uses your full precision.
- Results are returned in the same units you enter, unless the tool states the output unit.
What it does not cover
- Linear Equation Calculator produces a calculated result for reference and learning, not a certified or official measurement.
- Real-world outcomes differ when tolerances, rounding rules or local standards apply.
- Definitions and standards vary by region and change over time; verify the convention that applies to your case.
- Figures are only as accurate as the inputs you supply — check them before acting on the result.
- For work where the result carries real consequences, confirm it against an authoritative source.
Frequently Asked Questions
Free to use, no account needed. Calculations run in your browser, so nothing you type is sent to a server. Results are estimates — how we build and check our calculators.