Solve x^2+6x-m=0

$$x ^ { 2 } + 6 x - m = 0$$

Solve for m

$$m=x\left(x+6\right)$$

Steps for Solving Linear Equation

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

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

Subtract 6x from both sides.

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

Divide both sides by -1.

$$\frac{-m}{-1}=-\frac{x\left(x+6\right)}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$m=-\frac{x\left(x+6\right)}{-1}$$

Divide -x\left(6+x\right) by -1.

$$m=x\left(x+6\right)$$

Solve for x (complex solution)

$$x=\sqrt{m+9}-3$$

$$x=-\sqrt{m+9}-3$$

Solve for x

$$x=\sqrt{m+9}-3$$

$$x=-\sqrt{m+9}-3\text{, }m\geq -9$$