405=2a^2+7.6832*14.44

Solution for 405=2a^2+7.6832*14.44 equation:

405=2a^2+7.6832*14.44

We move all terms to the left:

405-(2a^2+7.6832*14.44)=0

We get rid of parentheses

-2a^2+405-7.6832*14.44=0

We add all the numbers together, and all the variables

-2a^2+294.054592=0

a = -2; b = 0; c = +294.054592;
Δ = b2-4ac
Δ = 02-4·(-2)·294.054592
Δ = 2352.436736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{2352.436736}}{2*-2}=\frac{0-\sqrt{2352.436736}}{-4}
=-\frac{\sqrt{}}{-4}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{2352.436736}}{2*-2}=\frac{0+\sqrt{2352.436736}}{-4}
=\frac{\sqrt{}}{-4}
$