Solve v^2-18w+30=0

$$v ^ { 2 } - 18 w + 30 = 0$$

Solve for w

$$w=\frac{v^{2}+30}{18}$$

Steps for Solving Linear Equation

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

$$-18w+30=-v^{2}$$

Subtract 30 from both sides.

$$-18w=-v^{2}-30$$

Divide both sides by -18.

$$\frac{-18w}{-18}=\frac{-v^{2}-30}{-18}$$

Dividing by -18 undoes the multiplication by -18.

$$w=\frac{-v^{2}-30}{-18}$$

Divide -v^{2}-30 by -18.

$$w=\frac{v^{2}}{18}+\frac{5}{3}$$

Solve for v (complex solution)

$$v=-\sqrt{18w-30}$$

$$v=\sqrt{18w-30}$$

Solve for v

$$v=\sqrt{18w-30}$$

$$v=-\sqrt{18w-30}\text{, }w\geq \frac{5}{3}$$