Solve fm^2-14m-15=0

$$f m ^ { 2 } - 14 m - 15 = 0$$

Solve for f

$$f=\frac{14m+15}{m^{2}}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Add 14m to both sides. Anything plus zero gives itself.

$$fm^{2}-15=14m$$

Add 15 to both sides.

$$fm^{2}=14m+15$$

The equation is in standard form.

$$m^{2}f=14m+15$$

Divide both sides by m^{2}.

$$\frac{m^{2}f}{m^{2}}=\frac{14m+15}{m^{2}}$$

Dividing by m^{2} undoes the multiplication by m^{2}.

$$f=\frac{14m+15}{m^{2}}$$

Solve for m

$$\left\{\begin{matrix}m=\frac{\sqrt{15f+49}+7}{f}\text{; }m=\frac{-\sqrt{15f+49}+7}{f}\text{, }&f\neq 0\text{ and }f\geq -\frac{49}{15}\\m=-\frac{15}{14}\text{, }&f=0\end{matrix}\right.$$