Solve x^2-6x-m+2=0

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

Solve for m

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

Steps for Solving Linear Equation

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

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

Add 6x to both sides.

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

Subtract 2 from both sides.

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

Divide both sides by -1.

$$\frac{-m}{-1}=\frac{-x^{2}+6x-2}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$m=\frac{-x^{2}+6x-2}{-1}$$

Divide -x^{2}+6x-2 by -1.

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

Solve for x (complex solution)

$$x=\sqrt{m+7}+3$$

$$x=-\sqrt{m+7}+3$$

Solve for x

$$x=\sqrt{m+7}+3$$

$$x=-\sqrt{m+7}+3\text{, }m\geq -7$$