(-16x^2)+330x-121=0

Solution for (-16x^2)+330x-121=0 equation:

(-16x^2)+330x-121=0

We get rid of parentheses

-16x^2+330x-121=0

a = -16; b = 330; c = -121;
Δ = b2-4ac
Δ = 3302-4·(-16)·(-121)
Δ = 101156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{101156}=\sqrt{484*209}=\sqrt{484}*\sqrt{209}=22\sqrt{209}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(330)-22\sqrt{209}}{2*-16}=\frac{-330-22\sqrt{209}}{-32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(330)+22\sqrt{209}}{2*-16}=\frac{-330+22\sqrt{209}}{-32}
$