Solve T=4-p/4p

$$T = \frac { 4 - p } { 4 p }$$

Solve for p

$$p=\frac{4}{4T+1}$$

$$T\neq -\frac{1}{4}$$

Steps for Solving Linear Equation

Variable p cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4p.

$$T\times 4p=4-p$$

Add p to both sides.

$$T\times 4p+p=4$$

Combine all terms containing p.

$$\left(T\times 4+1\right)p=4$$

The equation is in standard form.

$$\left(4T+1\right)p=4$$

Divide both sides by 4T+1.

$$\frac{\left(4T+1\right)p}{4T+1}=\frac{4}{4T+1}$$

Dividing by 4T+1 undoes the multiplication by 4T+1.

$$p=\frac{4}{4T+1}$$

Variable p cannot be equal to 0.

$$p=\frac{4}{4T+1}\text{, }p\neq 0$$

Solve for T

$$T=-\frac{1}{4}+\frac{1}{p}$$

$$p\neq 0$$