(x)=0.09x^2+5000x-750000

Solution for (x)=0.09x^2+5000x-750000 equation:

(x)=0.09x^2+5000x-750000

We move all terms to the left:

(x)-(0.09x^2+5000x-750000)=0

We get rid of parentheses

-0.09x^2+x-5000x+750000=0

We add all the numbers together, and all the variables

-0.09x^2-4999x+750000=0

a = -0.09; b = -4999; c = +750000;
Δ = b2-4ac
Δ = -49992-4·(-0.09)·750000
Δ = 25260001
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{-(-4999)-\sqrt{25260001}}{2*-0.09}=\frac{4999-\sqrt{25260001}}{-0.18}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4999)+\sqrt{25260001}}{2*-0.09}=\frac{4999+\sqrt{25260001}}{-0.18}
$