(6y-3)(6y-3)=9

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Solution for (6y-3)(6y-3)=9 equation: 


Simplifying
(6y + -3)(6y + -3) = 9

Reorder the terms:
(-3 + 6y)(6y + -3) = 9

Reorder the terms:
(-3 + 6y)(-3 + 6y) = 9

Multiply (-3 + 6y) * (-3 + 6y)
(-3(-3 + 6y) + 6y * (-3 + 6y)) = 9
((-3 * -3 + 6y * -3) + 6y * (-3 + 6y)) = 9
((9 + -18y) + 6y * (-3 + 6y)) = 9
(9 + -18y + (-3 * 6y + 6y * 6y)) = 9
(9 + -18y + (-18y + 36y2)) = 9

Combine like terms: -18y + -18y = -36y
(9 + -36y + 36y2) = 9

Add '-9' to each side of the equation.
9 + -36y + -9 + 36y2 = 9 + -9

Reorder the terms:
9 + -9 + -36y + 36y2 = 9 + -9

Combine like terms: 9 + -9 = 0
0 + -36y + 36y2 = 9 + -9
-36y + 36y2 = 9 + -9

Combine like terms: 9 + -9 = 0
-36y + 36y2 = 0

Solving
-36y + 36y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '36y'.
36y(-1 + y) = 0

Ignore the factor 36.

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 '(-1 + y)' equal to zero and attempt to solve:

Simplifying
-1 + y = 0

Solving
-1 + y = 0

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

Add '1' to each side of the equation.
-1 + 1 + y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + y = 0 + 1
y = 0 + 1

Combine like terms: 0 + 1 = 1
y = 1

Simplifying
y = 1
Solution
y = {0, 1}

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