(9y-6)(9y-6)=

Solution for (9y-6)(9y-6)= equation:

Simplifying
(9y + -6)(9y + -6) = 0

Reorder the terms:
(-6 + 9y)(9y + -6) = 0

Reorder the terms:
(-6 + 9y)(-6 + 9y) = 0

Multiply (-6 + 9y) * (-6 + 9y)
(-6(-6 + 9y) + 9y * (-6 + 9y)) = 0
((-6 * -6 + 9y * -6) + 9y * (-6 + 9y)) = 0
((36 + -54y) + 9y * (-6 + 9y)) = 0
(36 + -54y + (-6 * 9y + 9y * 9y)) = 0
(36 + -54y + (-54y + 81y2)) = 0

Combine like terms: -54y + -54y = -108y
(36 + -108y + 81y2) = 0

Solving
36 + -108y + 81y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '9'.
9(4 + -12y + 9y2) = 0

Factor a trinomial.
9((2 + -3y)(2 + -3y)) = 0

Ignore the factor 9.
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}