-16x^2+75x=-5

Solution for -16x^2+75x=-5 equation:

-16x^2+75x=-5

We move all terms to the left:

-16x^2+75x-(-5)=0

We add all the numbers together, and all the variables

-16x^2+75x+5=0

a = -16; b = 75; c = +5;
Δ = b2-4ac
Δ = 752-4·(-16)·5
Δ = 5945
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{-(75)-\sqrt{5945}}{2*-16}=\frac{-75-\sqrt{5945}}{-32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(75)+\sqrt{5945}}{2*-16}=\frac{-75+\sqrt{5945}}{-32}
$