Solve (x-1)*(x+2)=x^2-4+3x

$$( x - 1 ) \cdot ( x + 2 ) = x ^ { 2 } - 4 + 3 x$$

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.

$$x^{2}+x-2=x^{2}-4+3x$$

Subtract x^{2} from both sides.

$$x^{2}+x-2-x^{2}=-4+3x$$

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

$$x-2=-4+3x$$

Subtract 3x from both sides.

$$x-2-3x=-4$$

Combine x and -3x to get -2x.

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

Add 2 to both sides.

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

Add -4 and 2 to get -2.

$$-2x=-2$$

Divide both sides by -2.

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

Divide -2 by -2 to get 1.

$$x=1$$