0=-0.09x^2+100x-8830

Solution for 0=-0.09x^2+100x-8830 equation:

0=-0.09x^2+100x-8830

We move all terms to the left:

0-(-0.09x^2+100x-8830)=0

We add all the numbers together, and all the variables

-(-0.09x^2+100x-8830)=0

We get rid of parentheses

0.09x^2-100x+8830=0

a = 0.09; b = -100; c = +8830;
Δ = b2-4ac
Δ = -1002-4·0.09·8830
Δ = 6821.2
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{-(-100)-\sqrt{6821.2}}{2*0.09}=\frac{100-\sqrt{6821.2}}{0.18}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+\sqrt{6821.2}}{2*0.09}=\frac{100+\sqrt{6821.2}}{0.18}
$