5x^2=-44x-32

Solution for 5x^2=-44x-32 equation:

5x^2=-44x-32

We move all terms to the left:

5x^2-(-44x-32)=0

We get rid of parentheses

5x^2+44x+32=0

a = 5; b = 44; c = +32;
Δ = b2-4ac
Δ = 442-4·5·32
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-36}{2*5}=\frac{-80}{10}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+36}{2*5}=\frac{-8}{10}
=-4/5
$