Solve 6x-2ax-a^2=0

$$6 x - 2 a x - a ^ { 2 } = 0$$

Solve for x

$$x=\frac{a^{2}}{2\left(3-a\right)}$$

$$a\neq 3$$

Steps for Solving Linear Equation

Add a^{2} to both sides. Anything plus zero gives itself.

$$6x-2ax=a^{2}$$

Combine all terms containing x.

$$\left(6-2a\right)x=a^{2}$$

Divide both sides by 6-2a.

$$\frac{\left(6-2a\right)x}{6-2a}=\frac{a^{2}}{6-2a}$$

Dividing by 6-2a undoes the multiplication by 6-2a.

$$x=\frac{a^{2}}{6-2a}$$

Divide a^{2} by 6-2a.

$$x=\frac{a^{2}}{2\left(3-a\right)}$$

Solve for a (complex solution)

$$a=-\sqrt{x\left(x+6\right)}-x$$

$$a=\sqrt{x\left(x+6\right)}-x$$

Solve for a

$$a=-\sqrt{x\left(x+6\right)}-x$$

$$a=\sqrt{x\left(x+6\right)}-x\text{, }x\leq -6\text{ or }x\geq 0$$