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

$$( x + 1 ) ( x - 2 ) = x ( x + 1 )$$

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.

$$x^{2}-x-2=x\left(x+1\right)$$

Use the distributive property to multiply x by x+1.

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

Subtract x^{2} from both sides.

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

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

$$-x-2=x$$

Subtract x from both sides.

$$-x-2-x=0$$

Combine -x and -x to get -2x.

$$-2x-2=0$$

Add 2 to both sides. Anything plus zero gives itself.

$$-2x=2$$

Divide both sides by -2.

$$x=\frac{2}{-2}$$

Divide 2 by -2 to get -1.

$$x=-1$$