30x^2+80x-30=0

Solution for 30x^2+80x-30=0 equation:

30x^2+80x-30=0

a = 30; b = 80; c = -30;
Δ = b2-4ac
Δ = 802-4·30·(-30)
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(80)-100}{2*30}=\frac{-180}{60}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(80)+100}{2*30}=\frac{20}{60}
=1/3
$