# When do you use the zero factor property?

Feb 9, 2015

When you have some thing like this

Solve for x

$x \left(x + 5\right) \left(10 x - 10\right) \left(x - 25\right) = 0$

So for this phenomena to occur one thing which must be true is that One of the terms must be 0

so

any one the following equation have to be true to get the final answer as 0.

$\to x = 0$

$\to \left(x + 5\right) = 0$

$\to \left(10 x - 10\right) = 0$

$\to \left(x - 25\right) = 0$

So the possibilities for the value of x are:
$x = 0 , - 5 , 1 , 25$