Pre-Algebra Examples

$0 = 16 x^{2} + 400 x$

Step 1

Rewrite the equation as $16 x^{2} + 400 x = 0$ .

$16 x^{2} + 400 x = 0$

Step 2

Factor $16 x$ out of $16 x^{2} + 400 x$ .

Tap for more steps...

Step 2.1

Factor $16 x$ out of $16 x^{2}$ .

$16 x (x) + 400 x = 0$

Step 2.2

Factor $16 x$ out of $400 x$ .

$16 x (x) + 16 x (25) = 0$

Step 2.3

Factor $16 x$ out of $16 x (x) + 16 x (25)$ .

$16 x (x + 25) = 0$

Step 3

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

$x = 0$

$x + 25 = 0$

Step 4

Set $x$ equal to $0$ .

$x = 0$

Step 5

Set $x + 25$ equal to $0$ and solve for $x$ .

Tap for more steps...

Step 5.1

Set $x + 25$ equal to $0$ .

$x + 25 = 0$

Step 5.2

Subtract $25$ from both sides of the equation.

$x = - 25$

Step 6

The final solution is all the values that make $16 x (x + 25) = 0$ true.

$x = 0, - 25$