X2+9x+44=180

solve for x

x₁ = - 17 x₂ = 8

Step-by-step explanation:

First we equal the equation to zero and simplify it

x² + 9x + 44 - 180 = 0

x² + 9x - 136 = 0

Then, we look for to numbers that if we add them the result is + 9 and if we multiply then the result is - 136.

This numbers are 17 and - 8

Then, we write the equation as a factors of two terms

(x+17) (x-8) = 0

and we equal if term to zero

x₁ + 17 = 0

x₁ = - 17

x₂ - 8 = 0

x₂ = 8