5x^2+20x-32=0

Solution for 5x^2+20x-32=0 equation:

5x^2+20x-32=0

a = 5; b = 20; c = -32;
Δ = b2-4ac
Δ = 202-4·5·(-32)
Δ = 1040
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:

$\sqrt{\Delta}=\sqrt{1040}=\sqrt{16*65}=\sqrt{16}*\sqrt{65}=4\sqrt{65}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-4\sqrt{65}}{2*5}=\frac{-20-4\sqrt{65}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+4\sqrt{65}}{2*5}=\frac{-20+4\sqrt{65}}{10}
$