0.19y+0.08y(y+5000)=1750

Solution for 0.19y+0.08y(y+5000)=1750 equation:

0.19y+0.08y(y+5000)=1750

We move all terms to the left:

0.19y+0.08y(y+5000)-(1750)=0

We multiply parentheses

0y^2+0.19y+0y-1750=0

We add all the numbers together, and all the variables

y^2+1.19y-1750=0

a = 1; b = 1.19; c = -1750;
Δ = b2-4ac
Δ = 1.192-4·1·(-1750)
Δ = 7001.4161
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{-(1.19)-\sqrt{7001.4161}}{2*1}=\frac{-1.19-\sqrt{7001.4161}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.19)+\sqrt{7001.4161}}{2*1}=\frac{-1.19+\sqrt{7001.4161}}{2}
$