Solve P=-002n^2+34n-16

$$P = -002 { n }^{ 2 } +34n-16$$

Solve for P

$$P=34n-16$$

Solution Steps

Multiply 0 and 0 to get 0.

$$P=0\times 2n^{2}+34n-16$$

Multiply 0 and 2 to get 0.

$$P=0n^{2}+34n-16$$

Anything times zero gives zero.

$$P=0+34n-16$$

Subtract 16 from 0 to get -16.

$$P=-16+34n$$

Solve for n

$$n=\frac{P+16}{34}$$

Steps for Solving Linear Equation

Multiply 0 and 0 to get 0.

$$P=0\times 2n^{2}+34n-16$$

Multiply 0 and 2 to get 0.

$$P=0n^{2}+34n-16$$

Anything times zero gives zero.

$$P=0+34n-16$$

Subtract 16 from 0 to get -16.

$$P=-16+34n$$

Swap sides so that all variable terms are on the left hand side.

$$-16+34n=P$$

Add 16 to both sides.

$$34n=P+16$$

Divide both sides by 34.

$$\frac{34n}{34}=\frac{P+16}{34}$$

Dividing by 34 undoes the multiplication by 34.

$$n=\frac{P+16}{34}$$

Divide P+16 by 34.

$$n=\frac{P}{34}+\frac{8}{17}$$