Solve by Factoring 3x^2+24x=0

$3 x^{2} + 24 x = 0$

Step 1

Factor $3 x$ out of $3 x^{2} + 24 x$ .

Factor $3 x$ out of $3 x^{2}$ .

$3 x (x) + 24 x = 0$

Factor $3 x$ out of $24 x$ .

$3 x (x) + 3 x (8) = 0$

Factor $3 x$ out of $3 x (x) + 3 x (8)$ .

$3 x (x + 8) = 0$

Step 2

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

$x = 0$

$x + 8 = 0$

Step 3

Set $x$ equal to $0$ .

$x = 0$

Step 4

Set $x + 8$ equal to $0$ and solve for $x$ .

Set $x + 8$ equal to $0$ .

$x + 8 = 0$

Subtract $8$ from both sides of the equation.

$x = - 8$

Step 5

The final solution is all the values that make $3 x (x + 8) = 0$ true.

$x = 0, - 8$