Solve x*(x+2)=x*(x+3)

$$x \times (x+2)=x \times (x+3)$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Use the distributive property to multiply x by x+2.

$$x^{2}+2x=x\left(x+3\right)$$

Use the distributive property to multiply x by x+3.

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

Subtract x^{2} from both sides.

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

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

$$2x=3x$$

Subtract 3x from both sides.

$$2x-3x=0$$

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

$$-x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since -1 is not equal to 0, x must be equal to 0.

$$x=0$$