5x2+80x-16500=0

Solution for 5x2+80x-16500=0 equation:

5x^2+80x-16500=0

a = 5; b = 80; c = -16500;
Δ = b2-4ac
Δ = 802-4·5·(-16500)
Δ = 336400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{336400}=580$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(80)-580}{2*5}=\frac{-660}{10}
=-66
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(80)+580}{2*5}=\frac{500}{10}
=50
$