80x^2+4x-12=0

Solution for 80x^2+4x-12=0 equation:

80x^2+4x-12=0

a = 80; b = 4; c = -12;
Δ = b2-4ac
Δ = 42-4·80·(-12)
Δ = 3856
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:

$\sqrt{\Delta}=\sqrt{3856}=\sqrt{16*241}=\sqrt{16}*\sqrt{241}=4\sqrt{241}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-4\sqrt{241}}{2*80}=\frac{-4-4\sqrt{241}}{160}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+4\sqrt{241}}{2*80}=\frac{-4+4\sqrt{241}}{160}
$