4x^2+40x-320=0

Solution for 4x^2+40x-320=0 equation:

4x^2+40x-320=0

a = 4; b = 40; c = -320;
Δ = b2-4ac
Δ = 402-4·4·(-320)
Δ = 6720
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:

$\sqrt{\Delta}=\sqrt{6720}=\sqrt{64*105}=\sqrt{64}*\sqrt{105}=8\sqrt{105}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(40)-8\sqrt{105}}{2*4}=\frac{-40-8\sqrt{105}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(40)+8\sqrt{105}}{2*4}=\frac{-40+8\sqrt{105}}{8}
$