Solve 32/m-13dm=2

$$32 / m - 13 d m = 2$$

Solve for d

$$d=\frac{2\left(16-m\right)}{13m^{2}}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by m.

$$32-13dmm=2m$$

Multiply m and m to get m^{2}.

$$32-13dm^{2}=2m$$

Subtract 32 from both sides.

$$-13dm^{2}=2m-32$$

The equation is in standard form.

$$\left(-13m^{2}\right)d=2m-32$$

Divide both sides by -13m^{2}.

$$\frac{\left(-13m^{2}\right)d}{-13m^{2}}=\frac{2m-32}{-13m^{2}}$$

Dividing by -13m^{2} undoes the multiplication by -13m^{2}.

$$d=\frac{2m-32}{-13m^{2}}$$

Divide -32+2m by -13m^{2}.

$$d=-\frac{2\left(m-16\right)}{13m^{2}}$$

Solve for m

$$\left\{\begin{matrix}m=-\frac{\sqrt{416d+1}+1}{13d}\text{; }m=-\frac{-\sqrt{416d+1}+1}{13d}\text{, }&d\neq 0\text{ and }d\geq -\frac{1}{416}\\m=16\text{, }&d=0\end{matrix}\right.$$