Solve x2-6x+8=0

$$x 2 - 6 x + 8 = 0$$

Solve for x

$$x=\frac{x_{2}+8}{6}$$

Steps for Solving Linear Equation

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

$$-6x+8=-x_{2}$$

Subtract 8 from both sides.

$$-6x=-x_{2}-8$$

Divide both sides by -6.

$$\frac{-6x}{-6}=\frac{-x_{2}-8}{-6}$$

Dividing by -6 undoes the multiplication by -6.

$$x=\frac{-x_{2}-8}{-6}$$

Divide -x_{2}-8 by -6.

$$x=\frac{x_{2}}{6}+\frac{4}{3}$$

Solve for x_2

$$x_{2}=6x-8$$

Solution Steps

Add 6x to both sides. Anything plus zero gives itself.

$$x_{2}+8=6x$$

Subtract 8 from both sides.

$$x_{2}=6x-8$$