y*6y=2/3

Solution for y*6y=2/3 equation:

y*6y=2/3

We move all terms to the left:

y*6y-(2/3)=0

We add all the numbers together, and all the variables

y*6y-(+2/3)=0

Wy multiply elements

6y^2-(+2/3)=0

We get rid of parentheses

6y^2-2/3=0

We multiply all the terms by the denominator


6y^2*3-2=0

Wy multiply elements

18y^2-2=0

a = 18; b = 0; c = -2;
Δ = b2-4ac
Δ = 02-4·18·(-2)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12}{2*18}=\frac{-12}{36}
=-1/3
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12}{2*18}=\frac{12}{36}
=1/3
$