.25+16x(6-2x)=-127.75

Solution for .25+16x(6-2x)=-127.75 equation:

.25+16x(6-2x)=-127.75

We move all terms to the left:

.25+16x(6-2x)-(-127.75)=0

We add all the numbers together, and all the variables

16x(-2x+6)+.25-(-127.75)=0

We add all the numbers together, and all the variables

16x(-2x+6)+128=0

We multiply parentheses

-32x^2+96x+128=0

a = -32; b = 96; c = +128;
Δ = b2-4ac
Δ = 962-4·(-32)·128
Δ = 25600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25600}=160$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(96)-160}{2*-32}=\frac{-256}{-64}
=+4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(96)+160}{2*-32}=\frac{64}{-64}
=-1
$