Solve x^2-10z+25=0

$$x ^ { 2 } - 10 z + 25 = 0$$

Solve for z

$$z=\frac{x^{2}+25}{10}$$

Steps for Solving Linear Equation

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

$$-10z+25=-x^{2}$$

Subtract 25 from both sides.

$$-10z=-x^{2}-25$$

Divide both sides by -10.

$$\frac{-10z}{-10}=\frac{-x^{2}-25}{-10}$$

Dividing by -10 undoes the multiplication by -10.

$$z=\frac{-x^{2}-25}{-10}$$

Divide -x^{2}-25 by -10.

$$z=\frac{x^{2}}{10}+\frac{5}{2}$$

Solve for x

$$x=\sqrt{10z-25}$$

$$x=-\sqrt{10z-25}\text{, }z\geq \frac{5}{2}$$