Solve 4h^2-6x-682=0

$$4 h ^ { 2 } - 6 x - 682 = 0$$

Solve for x

$$x=\frac{2h^{2}-341}{3}$$

Steps for Solving Linear Equation

Subtract 4h^{2} from both sides. Anything subtracted from zero gives its negation.

$$-6x-682=-4h^{2}$$

Add 682 to both sides.

$$-6x=-4h^{2}+682$$

The equation is in standard form.

$$-6x=682-4h^{2}$$

Divide both sides by -6.

$$\frac{-6x}{-6}=\frac{682-4h^{2}}{-6}$$

Dividing by -6 undoes the multiplication by -6.

$$x=\frac{682-4h^{2}}{-6}$$

Divide -4h^{2}+682 by -6.

$$x=\frac{2h^{2}-341}{3}$$

Solve for h (complex solution)

$$h=-\frac{\sqrt{6x+682}}{2}$$

$$h=\frac{\sqrt{6x+682}}{2}$$

Solve for h

$$h=\frac{\sqrt{6x+682}}{2}$$

$$h=-\frac{\sqrt{6x+682}}{2}\text{, }x\geq -\frac{341}{3}$$