86.935x-255x^2=6.77688

Solution for 86.935x-255x^2=6.77688 equation:

86.935x-255x^2=6.77688

We move all terms to the left:

86.935x-255x^2-(6.77688)=0

We add all the numbers together, and all the variables

-255x^2+86.935x-6.77688=0

a = -255; b = 86.935; c = -6.77688;
Δ = b2-4ac
Δ = 86.9352-4·(-255)·(-6.77688)
Δ = 645.276625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(86.935)-\sqrt{645.276625}}{2*-255}=\frac{-86.935-\sqrt{645.276625}}{-510}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(86.935)+\sqrt{645.276625}}{2*-255}=\frac{-86.935+\sqrt{645.276625}}{-510}
$