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Literal Equation Calculator (Formula Rearranger)

Isolate variables in algebraic and physics formulas. Solves literal equations like A = pi*r^2 for r using symbolic rearrangement logic.

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Category Math & Algebra
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About

In physics and engineering, formulas are often provided in a standard form that does not match the unknown variable in a specific problem. This calculator rearranges literal equations to make a specific variable the subject of the formula. It performs inverse operations such as division, subtraction, and root extraction to isolate the target variable. This capability essentially functions as a lightweight symbolic solver, useful for students who need to manipulate abstract variables rather than just numerical values.

literal equations algebra solver formula rearrangement physics math symbolic math

Formulas

The logic follows the principle of inverse operations. To move a term to the other side of the equals sign, the opposite operation is applied.

If x + a = b , then x = b − a
If x2 = y , then x = √y

Reference Data

Original FormulaSolve ForRearranged FormulaOperation
F = maaa = FmDivide by m
y = mx + cxx = y − cmSubtract c, Divide m
A = πr2rr = √AπDivide π, Square Root
E = mc2cc = √EmDivide m, Square Root

Frequently Asked Questions

Yes, but with limitations. The logic attempts to "peel" away layers. If the variable is inside a bracket, the solver first removes the outer terms and multipliers before addressing the contents of the parenthesis.
This simplified tool works best when the target variable appears only once in the equation (e.g., A = lw). Factorizing multiple instances (like ax + bx = c) requires a full Computer Algebra System (CAS).