.25+6x(4-2x)=-95.75

Solution for .25+6x(4-2x)=-95.75 equation:

.25+6x(4-2x)=-95.75

We move all terms to the left:

.25+6x(4-2x)-(-95.75)=0

We add all the numbers together, and all the variables

6x(-2x+4)+.25-(-95.75)=0

We add all the numbers together, and all the variables

6x(-2x+4)+96=0

We multiply parentheses

-12x^2+24x+96=0

a = -12; b = 24; c = +96;
Δ = b2-4ac
Δ = 242-4·(-12)·96
Δ = 5184
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5184}=72$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-72}{2*-12}=\frac{-96}{-24}
=+4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+72}{2*-12}=\frac{48}{-24}
=-2
$