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

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


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

Reorder the terms:
(-2 + 3y)(3y + -2) = 0

Reorder the terms:
(-2 + 3y)(-2 + 3y) = 0

Multiply (-2 + 3y) * (-2 + 3y)
(-2(-2 + 3y) + 3y * (-2 + 3y)) = 0
((-2 * -2 + 3y * -2) + 3y * (-2 + 3y)) = 0
((4 + -6y) + 3y * (-2 + 3y)) = 0
(4 + -6y + (-2 * 3y + 3y * 3y)) = 0
(4 + -6y + (-6y + 9y2)) = 0

Combine like terms: -6y + -6y = -12y
(4 + -12y + 9y2) = 0

Solving
4 + -12y + 9y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(2 + -3y)(2 + -3y) = 0


Subproblem 1
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

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 = {0.6666666667, 0.6666666667}

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