Solve 4n^2-32k=0

$$4 n ^ { 2 } - 32 k = 0$$

Solve for k

$$k=\frac{n^{2}}{8}$$

Steps for Solving Linear Equation

Subtract 4n^{2} from both sides. Anything subtracted from zero gives its negation.

$$-32k=-4n^{2}$$

Divide both sides by -32.

$$\frac{-32k}{-32}=-\frac{4n^{2}}{-32}$$

Dividing by -32 undoes the multiplication by -32.

$$k=-\frac{4n^{2}}{-32}$$

Divide -4n^{2} by -32.

$$k=\frac{n^{2}}{8}$$

Solve for n (complex solution)

$$n=-2\sqrt{2k}$$

$$n=2\sqrt{2k}$$

Solve for n

$$n=2\sqrt{2k}$$

$$n=-2\sqrt{2k}\text{, }k\geq 0$$