85=175x-16x^2

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

85=175x-16x^2

We move all terms to the left:

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

We get rid of parentheses

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}
$