1-39.671192x-443.432625675216x^2=0

Solution for 1-39.671192x-443.432625675216x^2=0 equation:

1-39.671192x-443.432625675216x^2=0

We add all the numbers together, and all the variables

-443.432625675x^2-39.671192x+1=0

a = -443.432625675; b = -39.671192; c = +1;
Δ = b2-4ac
Δ = -39.6711922-4·(-443.432625675)·1
Δ = 3347.5339774
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{-(-39.671192)-\sqrt{3347.5339774}}{2*-443.432625675}=\frac{39.671192-\sqrt{3347.5339774}}{-886.86525135}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-39.671192)+\sqrt{3347.5339774}}{2*-443.432625675}=\frac{39.671192+\sqrt{3347.5339774}}{-886.86525135}
$