-16x^2+175x=85

Solution for -16x^2+175x=85 equation:

-16x^2+175x=85

We move all terms to the left:

-16x^2+175x-(85)=0

a = -16; b = 175; c = -85;
Δ = b2-4ac
Δ = 1752-4·(-16)·(-85)
Δ = 25185
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{-(175)-\sqrt{25185}}{2*-16}=\frac{-175-\sqrt{25185}}{-32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(175)+\sqrt{25185}}{2*-16}=\frac{-175+\sqrt{25185}}{-32}
$