(4x-8)(11x+55)=0

Solution for (4x-8)(11x+55)=0 equation:

(4x-8)(11x+55)=0

We multiply parentheses ..

(+44x^2+220x-88x-440)=0

We get rid of parentheses

44x^2+220x-88x-440=0

We add all the numbers together, and all the variables

44x^2+132x-440=0

a = 44; b = 132; c = -440;
Δ = b2-4ac
Δ = 1322-4·44·(-440)
Δ = 94864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{94864}=308$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(132)-308}{2*44}=\frac{-440}{88}
=-5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(132)+308}{2*44}=\frac{176}{88}
=2
$