Solve p/4m-2k=5

$$\frac { p } { 4 m } - 2 k = 5$$

Solve for k

$$k=\frac{p}{8m}-\frac{5}{2}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4m.

$$p-2k\times 4m=20m$$

Multiply -2 and 4 to get -8.

$$p-8km=20m$$

Subtract p from both sides.

$$-8km=20m-p$$

The equation is in standard form.

$$\left(-8m\right)k=20m-p$$

Divide both sides by -8m.

$$\frac{\left(-8m\right)k}{-8m}=\frac{20m-p}{-8m}$$

Dividing by -8m undoes the multiplication by -8m.

$$k=\frac{20m-p}{-8m}$$

Divide 20m-p by -8m.

$$k=\frac{p}{8m}-\frac{5}{2}$$

Solve for m

$$\left\{\begin{matrix}m=\frac{p}{4\left(2k+5\right)}\text{, }&p\neq 0\text{ and }k\neq -\frac{5}{2}\\m\neq 0\text{, }&k=-\frac{5}{2}\text{ and }p=0\end{matrix}\right.$$

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 4m.

$$p-2k\times 4m=20m$$

Multiply -2 and 4 to get -8.

$$p-8km=20m$$

Subtract 20m from both sides.

$$p-8km-20m=0$$

Subtract p from both sides. Anything subtracted from zero gives its negation.

$$-8km-20m=-p$$

Combine all terms containing m.

$$\left(-8k-20\right)m=-p$$

Divide both sides by -8k-20.

$$\frac{\left(-8k-20\right)m}{-8k-20}=-\frac{p}{-8k-20}$$

Dividing by -8k-20 undoes the multiplication by -8k-20.

$$m=-\frac{p}{-8k-20}$$

Divide -p by -8k-20.

$$m=\frac{p}{4\left(2k+5\right)}$$

Variable m cannot be equal to 0.

$$m=\frac{p}{4\left(2k+5\right)}\text{, }m\neq 0$$