Solve x^2=6x^2-d

$$x ^ { 2 } = 6 x ^ { 2 } - d$$

Solve for d

$$d=5x^{2}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$6x^{2}-d=x^{2}$$

Subtract 6x^{2} from both sides.

$$-d=x^{2}-6x^{2}$$

Combine x^{2} and -6x^{2} to get -5x^{2}.

$$-d=-5x^{2}$$

Divide both sides by -1.

$$\frac{-d}{-1}=-\frac{5x^{2}}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$d=-\frac{5x^{2}}{-1}$$

Divide -5x^{2} by -1.

$$d=5x^{2}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{5d}}{5}$$

$$x=\frac{\sqrt{5d}}{5}$$

Solve for x

$$x=\frac{\sqrt{5d}}{5}$$

$$x=-\frac{\sqrt{5d}}{5}\text{, }d\geq 0$$