18,66=45,552*x-2,529*x^2

Solution for 18,66=45,552*x-2,529*x^2 equation:

18.66=45.552x-2.529x^2

We move all terms to the left:

18.66-(45.552x-2.529x^2)=0

We get rid of parentheses

2.529x^2-45.552x+18.66=0

a = 2.529; b = -45.552; c = +18.66;
Δ = b2-4ac
Δ = -45.5522-4·2.529·18.66
Δ = 1886.220144
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{-(-45.552)-\sqrt{1886.220144}}{2*2.529}=\frac{45.552-\sqrt{1886.220144}}{5.058}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-45.552)+\sqrt{1886.220144}}{2*2.529}=\frac{45.552+\sqrt{1886.220144}}{5.058}
$