0.06+0.14y(3000-y)=0.42y

Solution for 0.06+0.14y(3000-y)=0.42y equation:

0.06+0.14y(3000-y)=0.42y

We move all terms to the left:

0.06+0.14y(3000-y)-(0.42y)=0

We add all the numbers together, and all the variables

0.14y(-1y+3000)-(+0.42y)+0.06=0

We multiply parentheses

0y^2+0y-(+0.42y)+0.06=0

We get rid of parentheses

0y^2+0y-0.42y+0.06=0

We add all the numbers together, and all the variables

y^2+0.58y+0.06=0

a = 1; b = 0.58; c = +0.06;
Δ = b2-4ac
Δ = 0.582-4·1·0.06
Δ = 0.0964
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{-(0.58)-\sqrt{0.0964}}{2*1}=\frac{-0.58-\sqrt{0.0964}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.58)+\sqrt{0.0964}}{2*1}=\frac{-0.58+\sqrt{0.0964}}{2}
$