Solve (N-2)*(P*120)-576=0

$$( N - 2 ) \times ( P \times 120 ) - 576 = 0$$

Solve for N

$$N=2+\frac{24}{5P}$$

$$P\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply N-2 by P.

$$\left(NP-2P\right)\times 120-576=0$$

Use the distributive property to multiply NP-2P by 120.

$$120NP-240P-576=0$$

Add 240P to both sides. Anything plus zero gives itself.

$$120NP-576=240P$$

Add 576 to both sides.

$$120NP=240P+576$$

The equation is in standard form.

$$120PN=240P+576$$

Divide both sides by 120P.

$$\frac{120PN}{120P}=\frac{240P+576}{120P}$$

Dividing by 120P undoes the multiplication by 120P.

$$N=\frac{240P+576}{120P}$$

Divide 240P+576 by 120P.

$$N=2+\frac{24}{5P}$$

Solve for P

$$P=\frac{24}{5\left(N-2\right)}$$

$$N\neq 2$$

Steps for Solving Linear Equation

Use the distributive property to multiply N-2 by P.

$$\left(NP-2P\right)\times 120-576=0$$

Use the distributive property to multiply NP-2P by 120.

$$120NP-240P-576=0$$

Add 576 to both sides. Anything plus zero gives itself.

$$120NP-240P=576$$

Combine all terms containing P.

$$\left(120N-240\right)P=576$$

Divide both sides by 120N-240.

$$\frac{\left(120N-240\right)P}{120N-240}=\frac{576}{120N-240}$$

Dividing by 120N-240 undoes the multiplication by 120N-240.

$$P=\frac{576}{120N-240}$$

Divide 576 by 120N-240.

$$P=\frac{24}{5\left(N-2\right)}$$