5868=4495.99586276486+20.6476160443995*x+-0.05266624621594*x2

Solution for 5868=4495.99586276486+20.6476160443995*x+-0.05266624621594*x2 equation:

5868=4495.99586276486+20.6476160443995x+-0.05266624621594x^2

We move all terms to the left:

5868-(4495.99586276486+20.6476160443995x+-0.05266624621594x^2)=0

We use the square of the difference formula

-(4495.99586276486+20.6476160443995x-0.05266624621594x^2)+5868=0

We get rid of parentheses

0.05266624621594x^2-20.6476160443995x-4495.99586276486+5868=0

We add all the numbers together, and all the variables

0.05266624621594x^2-20.6476160444x+1372.00413724=0

a = 0.05266624621594; b = -20.6476160444; c = +1372.00413724;
Δ = b2-4ac
Δ = -20.64761604442-4·0.05266624621594·1372.00413724
Δ = 137.290817512
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{-(-20.6476160444)-\sqrt{137.290817512}}{2*0.05266624621594}=\frac{20.6476160444-\sqrt{137.290817512}}{0.105332492432}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20.6476160444)+\sqrt{137.290817512}}{2*0.05266624621594}=\frac{20.6476160444+\sqrt{137.290817512}}{0.105332492432}
$