# How do you solve x^2+7x+10=0?

Mar 22, 2016

$x = - 2$
$x = - 5$

#### Explanation:

${x}^{2} + 7 x + 10 = 0$

We could right the equation in another form using brackets.

$\left(x + 2\right) \left(x + 5\right) = 0$

In order to get two numbers to multiply and give 0, at least one number has to be 0.

a stands for the first bracket and b for the second.
a x b = 0
a=0 or b=0 to make this equation valid.

Therefore x= -2 or x= -5 because -2+2=0 and -5+5=0 according to both brackets.