Solve m^2-25n+25=0

$$m ^ { 2 } - 25 n + 25 = 0$$

Solve for n

$$n=\frac{m^{2}+25}{25}$$

Steps for Solving Linear Equation

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

$$-25n+25=-m^{2}$$

Subtract 25 from both sides.

$$-25n=-m^{2}-25$$

Divide both sides by -25.

$$\frac{-25n}{-25}=\frac{-m^{2}-25}{-25}$$

Dividing by -25 undoes the multiplication by -25.

$$n=\frac{-m^{2}-25}{-25}$$

Divide -m^{2}-25 by -25.

$$n=\frac{m^{2}}{25}+1$$

Solve for m

$$m=5\sqrt{n-1}$$

$$m=-5\sqrt{n-1}\text{, }n\geq 1$$