Solve N^2+2w=8

$$N ^ { 2 } + 2 w = 8$$

Solve for w

$$w=-\frac{N^{2}}{2}+4$$

Steps for Solving Linear Equation

Subtract N^{2} from both sides.

$$2w=8-N^{2}$$

Divide both sides by 2.

$$\frac{2w}{2}=\frac{8-N^{2}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$w=\frac{8-N^{2}}{2}$$

Divide 8-N^{2} by 2.

$$w=-\frac{N^{2}}{2}+4$$

Solve for N (complex solution)

$$N=-\sqrt{8-2w}$$

$$N=\sqrt{8-2w}$$

Solve for N

$$N=\sqrt{8-2w}$$

$$N=-\sqrt{8-2w}\text{, }w\leq 4$$