-39.671192x^2+443.432625675216x=1

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

-39.671192x^2+443.432625675216x=1

We move all terms to the left:

-39.671192x^2+443.432625675216x-(1)=0

a = -39.671192; b = 443.432625675216; c = -1;
Δ = b2-4ac
Δ = 443.4326256752162-4·(-39.671192)·(-1)
Δ = 196473.808745
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{-(443.432625675216)-\sqrt{196473.808745}}{2*-39.671192}=\frac{-443.432625675-\sqrt{196473.808745}}{-79.342384}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(443.432625675216)+\sqrt{196473.808745}}{2*-39.671192}=\frac{-443.432625675+\sqrt{196473.808745}}{-79.342384}
$