Solve h^2+10h-2w=0

$$h ^ { 2 } + 10 h - 2 w = 0$$

Solve for w

$$w=\frac{h\left(h+10\right)}{2}$$

Steps for Solving Linear Equation

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

$$10h-2w=-h^{2}$$

Subtract 10h from both sides.

$$-2w=-h^{2}-10h$$

Divide both sides by -2.

$$\frac{-2w}{-2}=-\frac{h\left(h+10\right)}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$w=-\frac{h\left(h+10\right)}{-2}$$

Divide -h\left(10+h\right) by -2.

$$w=\frac{h\left(h+10\right)}{2}$$

Solve for h (complex solution)

$$h=\sqrt{2w+25}-5$$

$$h=-\sqrt{2w+25}-5$$

Solve for h

$$h=\sqrt{2w+25}-5$$

$$h=-\sqrt{2w+25}-5\text{, }w\geq -\frac{25}{2}$$