0.12(12y-8)+0.06y=0/04y-(60)

Solution for 0.12(12y-8)+0.06y=0/04y-(60) equation:

0.12(12y-8)+0.06y=0/04y-(60)

We move all terms to the left:

0.12(12y-8)+0.06y-(0/04y-(60))=0


Domain of the equation: 04y-60)!=0

y∈R


We add all the numbers together, and all the variables

0.06y+0.12(12y-8)-(0/04y-60)=0

We multiply parentheses

0.06y+1.44y-(0/04y-60)-0.96=0

We get rid of parentheses

0.06y+1.44y-0/04y+60-0.96=0

We multiply all the terms by the denominator


(0.06y)*04y+(1.44y)*04y+60*04y-(0.96)*04y-0=0

We add all the numbers together, and all the variables

(+0.06y)*04y+(+1.44y)*04y+60*04y-(0.96)*04y-0=0

We add all the numbers together, and all the variables

(+0.06y)*04y+(+1.44y)*04y+60*04y-(0.96)*04y=0

We multiply parentheses

0y^2+4y^2+60*04y-3.84y=0

Wy multiply elements

0y^2+4y^2+240y-3.84y=0

We add all the numbers together, and all the variables

5y^2+236.16y=0

a = 5; b = 236.16; c = 0;
Δ = b2-4ac
Δ = 236.162-4·5·0
Δ = 55771.5456
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{-(236.16)-\sqrt{55771.5456}}{2*5}=\frac{-236.16-\sqrt{55771.5456}}{10}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(236.16)+\sqrt{55771.5456}}{2*5}=\frac{-236.16+\sqrt{55771.5456}}{10}
$