0.01888x^2-0.02688x=-0.00871

Solution for 0.01888x^2-0.02688x=-0.00871 equation:

0.01888x^2-0.02688x=-0.00871

We move all terms to the left:

0.01888x^2-0.02688x-(-0.00871)=0

We add all the numbers together, and all the variables

0.01888x^2-0.02688x+0.00871=0

a = 0.01888; b = -0.02688; c = +0.00871;
Δ = b2-4ac
Δ = -0.026882-4·0.01888·0.00871
Δ = 6.47552E-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{-(-0.02688)-\sqrt{6.47552E-5}}{2*0.01888}=\frac{0.02688-\sqrt{6.47552E-5}}{0.03776}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.02688)+\sqrt{6.47552E-5}}{2*0.01888}=\frac{0.02688+\sqrt{6.47552E-5}}{0.03776}
$