Solve x^2-3x+2=(x-1)(x+2)

$$x ^ { 2 } - 3 x + 2 = ( x - 1 ) ( x + 2 )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-1 by x+2 and combine like terms.

$$x^{2}-3x+2=x^{2}+x-2$$

Subtract x^{2} from both sides.

$$x^{2}-3x+2-x^{2}=x-2$$

Combine x^{2} and -x^{2} to get 0.

$$-3x+2=x-2$$

Subtract x from both sides.

$$-3x+2-x=-2$$

Combine -3x and -x to get -4x.

$$-4x+2=-2$$

Subtract 2 from both sides.

$$-4x=-2-2$$

Subtract 2 from -2 to get -4.

$$-4x=-4$$

Divide both sides by -4.

$$x=\frac{-4}{-4}$$

Divide -4 by -4 to get 1.

$$x=1$$