-16x^2-60x+100=0

Solution for -16x^2-60x+100=0 equation:

-16x^2-60x+100=0

a = -16; b = -60; c = +100;
Δ = b2-4ac
Δ = -602-4·(-16)·100
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{-(-60)-100}{2*-16}=\frac{-40}{-32}
=1+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+100}{2*-16}=\frac{160}{-32}
=-5
$