0.15y+0.05y(y+5000)=1850

Solution for 0.15y+0.05y(y+5000)=1850 equation:

0.15y+0.05y(y+5000)=1850

We move all terms to the left:

0.15y+0.05y(y+5000)-(1850)=0

We multiply parentheses

0y^2+0.15y+0y-1850=0

We add all the numbers together, and all the variables

y^2+1.15y-1850=0

a = 1; b = 1.15; c = -1850;
Δ = b2-4ac
Δ = 1.152-4·1·(-1850)
Δ = 7401.3225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1.15)-\sqrt{7401.3225}}{2*1}=\frac{-1.15-\sqrt{7401.3225}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.15)+\sqrt{7401.3225}}{2*1}=\frac{-1.15+\sqrt{7401.3225}}{2}
$