Solve for x -25x^2+300x=0

$- 25 x^{2} + 300 x = 0$

Step 1

Factor $- 25 x$ out of $- 25 x^{2} + 300 x$ .

Factor $- 25 x$ out of $- 25 x^{2}$ .

$- 25 x \cdot x + 300 x = 0$

Factor $- 25 x$ out of $300 x$ .

$- 25 x \cdot x - 25 x \cdot - 12 = 0$

Factor $- 25 x$ out of $- 25 x (x) - 25 x (- 12)$ .

$- 25 x (x - 12) = 0$

Step 2

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

$x = 0$

$x - 12 = 0$

Step 3

Set $x$ equal to $0$ .

$x = 0$

Step 4

Set $x - 12$ equal to $0$ and solve for $x$ .

Set $x - 12$ equal to $0$ .

$x - 12 = 0$

Add $12$ to both sides of the equation.

$x = 12$

Step 5

The final solution is all the values that make $- 25 x (x - 12) = 0$ true.

$x = 0, 12$