Transposing Formula Solver

Formula transposition, or changing the subject of a formula, is a fundamental algebraic skill. It involves rearranging an equation to isolate a different variable on one side. This is like solving a puzzle by applying inverse operations in the correct order to move everything else away from the variable you want to solve for.

The Core Principle: Balance

The golden rule is to always keep the equation balanced. Whatever operation you perform on one side of the equals sign, you must perform the exact same operation on the other side.

Inverse Operations

To "undo" an operation and move a term, you use its inverse:

• The inverse of Addition (+) is Subtraction (-).
• The inverse of Multiplication (×) is Division (÷).
• The inverse of a Square ($x^2$) is a Square Root ($\sqrt{x}$).