0.0086815x-0.000148x^2=0.089243

Solution for 0.0086815x-0.000148x^2=0.089243 equation:

0.0086815x-0.000148x^2=0.089243

We move all terms to the left:

0.0086815x-0.000148x^2-(0.089243)=0

We add all the numbers together, and all the variables

-0.000148x^2+0.0086815x-0.089243=0

a = -0.000148; b = 0.0086815; c = -0.089243;
Δ = b2-4ac
Δ = 0.00868152-4·(-0.000148)·(-0.089243)
Δ = 2.253658625E-5
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{-(0.0086815)-\sqrt{2.253658625E-5}}{2*-0.000148}=\frac{-0.0086815-\sqrt{2.253658625E-5}}{-0.000296}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.0086815)+\sqrt{2.253658625E-5}}{2*-0.000148}=\frac{-0.0086815+\sqrt{2.253658625E-5}}{-0.000296}
$