40000=1341t+8.2t^2

Solution for 40000=1341t+8.2t^2 equation:

40000=1341t+8.2t^2

We move all terms to the left:

40000-(1341t+8.2t^2)=0

We get rid of parentheses

-8.2t^2-1341t+40000=0

a = -8.2; b = -1341; c = +40000;
Δ = b2-4ac
Δ = -13412-4·(-8.2)·40000
Δ = 3110281
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1341)-\sqrt{3110281}}{2*-8.2}=\frac{1341-\sqrt{3110281}}{-16.4}
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1341)+\sqrt{3110281}}{2*-8.2}=\frac{1341+\sqrt{3110281}}{-16.4}
$