0.08y(y-2)+0.14y=0.02y-0.01(70)

Solution for 0.08y(y-2)+0.14y=0.02y-0.01(70) equation:

0.08y(y-2)+0.14y=0.02y-0.01(70)

We move all terms to the left:

0.08y(y-2)+0.14y-(0.02y-0.01(70))=0

We add all the numbers together, and all the variables

0.08y(y-2)+0.14y-(0.02y-0.017)=0

We add all the numbers together, and all the variables

0.14y+0.08y(y-2)-(0.02y-0.017)=0

We multiply parentheses

0y^2+0.14y+0y-(0.02y-0.017)=0

We get rid of parentheses

0y^2+0.14y+0y-0.02y+0.017=0

We add all the numbers together, and all the variables

y^2+1.12y+0.017=0

a = 1; b = 1.12; c = +0.017;
Δ = b2-4ac
Δ = 1.122-4·1·0.017
Δ = 1.1864
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{-(1.12)-\sqrt{1.1864}}{2*1}=\frac{-1.12-\sqrt{1.1864}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.12)+\sqrt{1.1864}}{2*1}=\frac{-1.12+\sqrt{1.1864}}{2}
$