Solve (x-1)(x+2)=x^2-5x+10

$$( x - 1 ) ( x + 2 ) = x ^ { 2 } - 5 x + 10$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$x^{2}+x-2=x^{2}-5x+10$$

Subtract x^{2} from both sides.

$$x^{2}+x-2-x^{2}=-5x+10$$

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

$$x-2=-5x+10$$

Add 5x to both sides.

$$x-2+5x=10$$

Combine x and 5x to get 6x.

$$6x-2=10$$

Add 2 to both sides.

$$6x=10+2$$

Add 10 and 2 to get 12.

$$6x=12$$

Divide both sides by 6.

$$x=\frac{12}{6}$$

Divide 12 by 6 to get 2.

$$x=2$$