0=-0.0114x^2+0.765x-10.125

Solution for 0=-0.0114x^2+0.765x-10.125 equation:

0=-0.0114x^2+0.765x-10.125

We move all terms to the left:

0-(-0.0114x^2+0.765x-10.125)=0

We add all the numbers together, and all the variables

-(-0.0114x^2+0.765x-10.125)=0

We get rid of parentheses

0.0114x^2-0.765x+10.125=0

a = 0.0114; b = -0.765; c = +10.125;
Δ = b2-4ac
Δ = -0.7652-4·0.0114·10.125
Δ = 0.123525
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{-(-0.765)-\sqrt{0.123525}}{2*0.0114}=\frac{0.765-\sqrt{0.123525}}{0.0228}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.765)+\sqrt{0.123525}}{2*0.0114}=\frac{0.765+\sqrt{0.123525}}{0.0228}
$