Solve 256m^2-32n+1=0

$$256 m ^ { 2 } - 32 n + 1 = 0$$

Solve for n

$$n=8m^{2}+\frac{1}{32}$$

Steps for Solving Linear Equation

Subtract 256m^{2} from both sides. Anything subtracted from zero gives its negation.

$$-32n+1=-256m^{2}$$

Subtract 1 from both sides.

$$-32n=-256m^{2}-1$$

Divide both sides by -32.

$$\frac{-32n}{-32}=\frac{-256m^{2}-1}{-32}$$

Dividing by -32 undoes the multiplication by -32.

$$n=\frac{-256m^{2}-1}{-32}$$

Divide -256m^{2}-1 by -32.

$$n=8m^{2}+\frac{1}{32}$$

Solve for m (complex solution)

$$m=-\frac{\sqrt{32n-1}}{16}$$

$$m=\frac{\sqrt{32n-1}}{16}$$

Solve for m

$$m=\frac{\sqrt{32n-1}}{16}$$

$$m=-\frac{\sqrt{32n-1}}{16}\text{, }n\geq \frac{1}{32}$$