(15000-x)0.08x+0.07=1110

Solution for (15000-x)0.08x+0.07=1110 equation:

(15000-x)0.08x+0.07=1110

We move all terms to the left:

(15000-x)0.08x+0.07-(1110)=0

We add all the numbers together, and all the variables

(-1x+15000)0.08x+0.07-1110=0

We add all the numbers together, and all the variables

(-1x+15000)0.08x-1109.93=0

We multiply parentheses

0x^2+0x-1109.93=0

We add all the numbers together, and all the variables

x^2+x-1109.93=0

a = 1; b = 1; c = -1109.93;
Δ = b2-4ac
Δ = 12-4·1·(-1109.93)
Δ = 4440.72
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{-(1)-\sqrt{4440.72}}{2*1}=\frac{-1-\sqrt{4440.72}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{4440.72}}{2*1}=\frac{-1+\sqrt{4440.72}}{2}
$