.14y+.07y(y+8000)=1610

Solution for .14y+.07y(y+8000)=1610 equation:

.14y+.07y(y+8000)=1610

We move all terms to the left:

.14y+.07y(y+8000)-(1610)=0

We multiply parentheses

y^2+.14y+8000y-1610=0

We add all the numbers together, and all the variables

y^2+8000.14y-1610=0

a = 1; b = 8000.14; c = -1610;
Δ = b2-4ac
Δ = 8000.142-4·1·(-1610)
Δ = 64008680.0196
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{-(8000.14)-\sqrt{64008680.0196}}{2*1}=\frac{-8000.14-\sqrt{64008680.0196}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8000.14)+\sqrt{64008680.0196}}{2*1}=\frac{-8000.14+\sqrt{64008680.0196}}{2}
$