-16x^2+15x+115=0

Solution for -16x^2+15x+115=0 equation:

-16x^2+15x+115=0

a = -16; b = 15; c = +115;
Δ = b2-4ac
Δ = 152-4·(-16)·115
Δ = 7585
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-\sqrt{7585}}{2*-16}=\frac{-15-\sqrt{7585}}{-32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+\sqrt{7585}}{2*-16}=\frac{-15+\sqrt{7585}}{-32}
$