Solve for x 3x(2x-4)=0

$3 x (2 x - 4) = 0$

Step 1

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$x = 0$

$2 x - 4 = 0$

Step 2

Set $x$ equal to $0$ .

$x = 0$

Step 3

Set $2 x - 4$ equal to $0$ and solve for $x$ .

Set $2 x - 4$ equal to $0$ .

$2 x - 4 = 0$

Solve $2 x - 4 = 0$ for $x$ .

Add $4$ to both sides of the equation.

$2 x = 4$

Divide each term in $2 x = 4$ by $2$ and simplify.

Divide each term in $2 x = 4$ by $2$ .

$\frac{2 x}{2} = \frac{4}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{4}{2}$

Divide $x$ by $1$ .

$x = \frac{4}{2}$

Simplify the right side.

Divide $4$ by $2$ .

$x = 2$

Step 4

The final solution is all the values that make $3 x (2 x - 4) = 0$ true.

$x = 0, 2$