Solve -r^2/m=-7

$$- \frac { r ^ { 2 } } { m } = - 7$$

Solve for m

$$m=\frac{r^{2}}{7}$$

$$r\neq 0$$

Steps for Solving Linear Equation

Variable m cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by m.

$$-r^{2}=-7m$$

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

$$-7m=-r^{2}$$

Divide both sides by -7.

$$\frac{-7m}{-7}=-\frac{r^{2}}{-7}$$

Dividing by -7 undoes the multiplication by -7.

$$m=-\frac{r^{2}}{-7}$$

Divide -r^{2} by -7.

$$m=\frac{r^{2}}{7}$$

Variable m cannot be equal to 0.

$$m=\frac{r^{2}}{7}\text{, }m\neq 0$$

Solve for r

$$r=\sqrt{7m}$$

$$r=-\sqrt{7m}\text{, }m>0$$