40000=3x^2+1308x+25268

Solution for 40000=3x^2+1308x+25268 equation:

40000=3x^2+1308x+25268

We move all terms to the left:

40000-(3x^2+1308x+25268)=0

We get rid of parentheses

-3x^2-1308x-25268+40000=0

We add all the numbers together, and all the variables

-3x^2-1308x+14732=0

a = -3; b = -1308; c = +14732;
Δ = b2-4ac
Δ = -13082-4·(-3)·14732
Δ = 1887648
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1887648}=\sqrt{44944*42}=\sqrt{44944}*\sqrt{42}=212\sqrt{42}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1308)-212\sqrt{42}}{2*-3}=\frac{1308-212\sqrt{42}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1308)+212\sqrt{42}}{2*-3}=\frac{1308+212\sqrt{42}}{-6}
$