8y/2y=6y+16

Solution for 8y/2y=6y+16 equation:

8y/2y=6y+16

We move all terms to the left:

8y/2y-(6y+16)=0


Domain of the equation: 2y!=0

y!=0/2

y!=0

y∈R


We get rid of parentheses

8y/2y-6y-16=0

We multiply all the terms by the denominator


8y-6y*2y-16*2y=0

Wy multiply elements

-12y^2+8y-32y=0

We add all the numbers together, and all the variables

-12y^2-24y=0

a = -12; b = -24; c = 0;
Δ = b2-4ac
Δ = -242-4·(-12)·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-24}{2*-12}=\frac{0}{-24}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+24}{2*-12}=\frac{48}{-24}
=-2
$