3.76e-3X-2X^2+6.316e-5=0

Solution for 3.76e-3X-2X^2+6.316e-5=0 equation:

3.76e-3e-2e^2+6.316e-5=0

We add all the numbers together, and all the variables

-2e^2+7.076e-5=0

a = -2; b = 7.076; c = -5;
Δ = b2-4ac
Δ = 7.0762-4·(-2)·(-5)
Δ = 10.069776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7.076)-\sqrt{10.069776}}{2*-2}=\frac{-7.076-\sqrt{10.069776}}{-4}
$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7.076)+\sqrt{10.069776}}{2*-2}=\frac{-7.076+\sqrt{10.069776}}{-4}
$