0.00376a-2a^2+0.00006316=0

Solution for 0.00376a-2a^2+0.00006316=0 equation:

0.00376a-2a^2+0.00006316=0

We add all the numbers together, and all the variables

-2a^2+0.00376a-5+6.316E=0

We add all the numbers together, and all the variables

-2a^2+0.00376a+12.1686680285=0

a = -2; b = 0.00376; c = +12.1686680285;
Δ = b2-4ac
Δ = 0.003762-4·(-2)·12.1686680285
Δ = 97.3493583656
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{-(0.00376)-\sqrt{97.3493583656}}{2*-2}=\frac{-0.00376-\sqrt{97.3493583656}}{-4}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.00376)+\sqrt{97.3493583656}}{2*-2}=\frac{-0.00376+\sqrt{97.3493583656}}{-4}
$