530=-1.597x^2+38.431x+376.772

Solution for 530=-1.597x^2+38.431x+376.772 equation:

530=-1.597x^2+38.431x+376.772

We move all terms to the left:

530-(-1.597x^2+38.431x+376.772)=0

We get rid of parentheses

1.597x^2-38.431x-376.772+530=0

We add all the numbers together, and all the variables

1.597x^2-38.431x+153.228=0

a = 1.597; b = -38.431; c = +153.228;
Δ = b2-4ac
Δ = -38.4312-4·1.597·153.228
Δ = 498.121297
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{-(-38.431)-\sqrt{498.121297}}{2*1.597}=\frac{38.431-\sqrt{498.121297}}{3.194}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-38.431)+\sqrt{498.121297}}{2*1.597}=\frac{38.431+\sqrt{498.121297}}{3.194}
$