# How do you convert x(2) squared + 18x =-45? Thanks!!

May 11, 2018

$\left(x + 3\right) \left(x + 15\right)$

#### Explanation:

Add $- 45$ to the LH side

${x}^{2} + 18 x + 45$

$\left(x + 3\right) \left(x + 15\right)$

The reason I chose $15$ because $15 \cdot 3 = 45$ and you need to get the middle part to be $18$ so the two numbers that equal $45$ must add up to $18$

May 11, 2018

$x = - 15$ and $x = - 3$

#### Explanation:

${x}^{2} + 18 x = - 45$

Move all to one side:
${x}^{2} + 18 x + 45 = 0$

Factor by looking for 2 Numbers to Multiply to 45 and Add to 18:
$\left(x + 15\right) \left(x + 3\right) = 0$

Set each Factor $= 0$ and solve for $x$:
$x + 15 = 0$
$x = - 15$

$x + 3 = 0$
$x = - 3$