4x^2+32x+8=0

Solution for 4x^2+32x+8=0 equation:

4x^2+32x+8=0

a = 4; b = 32; c = +8;
Δ = b2-4ac
Δ = 322-4·4·8
Δ = 896
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{896}=\sqrt{64*14}=\sqrt{64}*\sqrt{14}=8\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(32)-8\sqrt{14}}{2*4}=\frac{-32-8\sqrt{14}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32)+8\sqrt{14}}{2*4}=\frac{-32+8\sqrt{14}}{8}
$