-16*x^2+16x+4=0

Solution for -16*x^2+16x+4=0 equation:

-16x^2+16x+4=0

a = -16; b = 16; c = +4;
Δ = b2-4ac
Δ = 162-4·(-16)·4
Δ = 512
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:

$\sqrt{\Delta}=\sqrt{512}=\sqrt{256*2}=\sqrt{256}*\sqrt{2}=16\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-16\sqrt{2}}{2*-16}=\frac{-16-16\sqrt{2}}{-32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+16\sqrt{2}}{2*-16}=\frac{-16+16\sqrt{2}}{-32}
$