8x^2-44x-28=-4

Solution for 8x^2-44x-28=-4 equation:

8x^2-44x-28=-4

We move all terms to the left:

8x^2-44x-28-(-4)=0

We add all the numbers together, and all the variables

8x^2-44x-24=0

a = 8; b = -44; c = -24;
Δ = b2-4ac
Δ = -442-4·8·(-24)
Δ = 2704
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2704}=52$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-52}{2*8}=\frac{-8}{16}
=-1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+52}{2*8}=\frac{96}{16}
=6
$