Solve by Factoring 3x^2=24x

$3 x^{2} = 24 x$

Step 1

Subtract $24 x$ from both sides of the equation.

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

Step 2

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 3

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 4

Set $x$ equal to $0$ .

$x = 0$

Step 5

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

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

$x - 8 = 0$

Add $8$ to both sides of the equation.

$x = 8$

Step 6

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

$x = 0, 8$