14.44x+87644.91=-0.01x^2+95x

Solution for 14.44x+87644.91=-0.01x^2+95x equation:

14.44x+87644.91=-0.01x^2+95x

We move all terms to the left:

14.44x+87644.91-(-0.01x^2+95x)=0

We get rid of parentheses

0.01x^2-95x+14.44x+87644.91=0

We add all the numbers together, and all the variables

0.01x^2-80.56x+87644.91=0

a = 0.01; b = -80.56; c = +87644.91;
Δ = b2-4ac
Δ = -80.562-4·0.01·87644.91
Δ = 2984.1172
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{-(-80.56)-\sqrt{2984.1172}}{2*0.01}=\frac{80.56-\sqrt{2984.1172}}{0.02}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-80.56)+\sqrt{2984.1172}}{2*0.01}=\frac{80.56+\sqrt{2984.1172}}{0.02}
$