x-0.008509x^2+0.000037743=0

Solution for x-0.008509x^2+0.000037743=0 equation:

x-0.008509x^2+0.000037743=0

We add all the numbers together, and all the variables

-0.008509x^2+x-5+3.7743E=0

We add all the numbers together, and all the variables

-0.008509x^2+x+5.259611105153=0

a = -0.008509; b = 1; c = +5.259611105153;
Δ = b2-4ac
Δ = 12-4·(-0.008509)·5.259611105153
Δ = 1.179016123575
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{1.179016123575}}{2*-0.008509}=\frac{-1-\sqrt{1.179016123575}}{-0.017018}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1.179016123575}}{2*-0.008509}=\frac{-1+\sqrt{1.179016123575}}{-0.017018}
$