Solve 684/(1+r)=725

$$684 / ( 1 + r ) = 725$$

Solve for r

$$r=-\frac{41}{725}\approx -0.056551724$$

Steps for Solving Linear Equation

Variable r cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by r+1.

$$684=725\left(r+1\right)$$

Use the distributive property to multiply 725 by r+1.

$$684=725r+725$$

Swap sides so that all variable terms are on the left hand side.

$$725r+725=684$$

Subtract 725 from both sides.

$$725r=684-725$$

Subtract 725 from 684 to get -41.

$$725r=-41$$

Divide both sides by 725.

$$r=\frac{-41}{725}$$

Fraction \frac{-41}{725} can be rewritten as -\frac{41}{725} by extracting the negative sign.

$$r=-\frac{41}{725}$$