(3y)(3y-2)=0

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Solution for (3y)(3y-2)=0 equation: 


Simplifying
(3y)(3y + -2) = 0

Remove parenthesis around (3y)
3y(3y + -2) = 0

Reorder the terms:
3y(-2 + 3y) = 0
(-2 * 3y + 3y * 3y) = 0
(-6y + 9y2) = 0

Solving
-6y + 9y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y'.
3y(-2 + 3y) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 0

Subproblem 2
Set the factor '(-2 + 3y)' equal to zero and attempt to solve:

Simplifying
-2 + 3y = 0

Solving
-2 + 3y = 0

Move all terms containing y to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + 3y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3y = 0 + 2
3y = 0 + 2

Combine like terms: 0 + 2 = 2
3y = 2

Divide each side by '3'.
y = 0.6666666667

Simplifying
y = 0.6666666667
Solution
y = {0, 0.6666666667}

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