Solve (N-2)*(P*1.20)-576=0

$$( N - 2 ) \times ( P \times 1.20 ) - 576 = 0$$

Solve for N

$$N=2+\frac{480}{P}$$

$$P\neq 0$$

Steps for Solving Linear Equation

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

$$\left(NP-2P\right)\times 1.2-576=0$$

Use the distributive property to multiply NP-2P by 1.2.

$$1.2NP-2.4P-576=0$$

Add 2.4P to both sides. Anything plus zero gives itself.

$$1.2NP-576=2.4P$$

Add 576 to both sides.

$$1.2NP=2.4P+576$$

The equation is in standard form.

$$\frac{6P}{5}N=\frac{12P}{5}+576$$

Divide both sides by 1.2P.

$$\frac{5\times \frac{6P}{5}N}{6P}=\frac{5\left(\frac{12P}{5}+576\right)}{6P}$$

Dividing by 1.2P undoes the multiplication by 1.2P.

$$N=\frac{5\left(\frac{12P}{5}+576\right)}{6P}$$

Divide \frac{12P}{5}+576 by 1.2P.

$$N=2+\frac{480}{P}$$

Solve for P

$$P=\frac{480}{N-2}$$

$$N\neq 2$$

Steps for Solving Linear Equation

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

$$\left(NP-2P\right)\times 1.2-576=0$$

Use the distributive property to multiply NP-2P by 1.2.

$$1.2NP-2.4P-576=0$$

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

$$1.2NP-2.4P=576$$

Combine all terms containing P.

$$\left(1.2N-2.4\right)P=576$$

The equation is in standard form.

$$\frac{6N-12}{5}P=576$$

Divide both sides by 1.2N-2.4.

$$\frac{5\times \frac{6N-12}{5}P}{6N-12}=\frac{5\times 576}{6N-12}$$

Dividing by 1.2N-2.4 undoes the multiplication by 1.2N-2.4.

$$P=\frac{5\times 576}{6N-12}$$

Divide 576 by 1.2N-2.4.

$$P=\frac{2880}{6N-12}$$