-16=58x-165x^2

Solution for -16=58x-165x^2 equation:

-16=58x-165x^2

We move all terms to the left:

-16-(58x-165x^2)=0

We get rid of parentheses

165x^2-58x-16=0

a = 165; b = -58; c = -16;
Δ = b2-4ac
Δ = -582-4·165·(-16)
Δ = 13924
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13924}=118$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-58)-118}{2*165}=\frac{-60}{330}
=-2/11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-58)+118}{2*165}=\frac{176}{330}
=8/15
$