Solve x^2+ax-a=0

$$x ^ { 2 } + a x - a = 0$$

Solve for a

$$a=-\frac{x^{2}}{x-1}$$

$$x\neq 1$$

Steps for Solving Linear Equation

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

$$ax-a=-x^{2}$$

Combine all terms containing a.

$$\left(x-1\right)a=-x^{2}$$

Divide both sides by x-1.

$$\frac{\left(x-1\right)a}{x-1}=-\frac{x^{2}}{x-1}$$

Dividing by x-1 undoes the multiplication by x-1.

$$a=-\frac{x^{2}}{x-1}$$

Solve for x (complex solution)

$$x=\frac{\sqrt{a\left(a+4\right)}-a}{2}$$

$$x=\frac{-\sqrt{a\left(a+4\right)}-a}{2}$$

Solve for x

$$x=\frac{\sqrt{a\left(a+4\right)}-a}{2}$$

$$x=\frac{-\sqrt{a\left(a+4\right)}-a}{2}\text{, }a\leq -4\text{ or }a\geq 0$$