[3y+(9x+6)][3y-(9x+6)]=

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Solution for [3y+(9x+6)][3y-(9x+6)]= equation: 


Simplifying
[3y + (9x + 6)][3y + -1(9x + 6)] = 0

Reorder the terms:
[3y + (6 + 9x)][3y + -1(9x + 6)] = 0

Remove parenthesis around (6 + 9x)
[3y + 6 + 9x][3y + -1(9x + 6)] = 0

Reorder the terms:
[6 + 9x + 3y][3y + -1(9x + 6)] = 0

Reorder the terms:
[6 + 9x + 3y][3y + -1(6 + 9x)] = 0
[6 + 9x + 3y][3y + (6 * -1 + 9x * -1)] = 0
[6 + 9x + 3y][3y + (-6 + -9x)] = 0

Reorder the terms:
[6 + 9x + 3y][-6 + -9x + 3y] = 0

Multiply [6 + 9x + 3y] * [-6 + -9x + 3y]
[6[-6 + -9x + 3y] + 9x * [-6 + -9x + 3y] + 3y * [-6 + -9x + 3y]] = 0
[[-6 * 6 + -9x * 6 + 3y * 6] + 9x * [-6 + -9x + 3y] + 3y * [-6 + -9x + 3y]] = 0
[[-36 + -54x + 18y] + 9x * [-6 + -9x + 3y] + 3y * [-6 + -9x + 3y]] = 0
[-36 + -54x + 18y + [-6 * 9x + -9x * 9x + 3y * 9x] + 3y * [-6 + -9x + 3y]] = 0

Reorder the terms:
[-36 + -54x + 18y + [-54x + 27xy + -81x2] + 3y * [-6 + -9x + 3y]] = 0
[-36 + -54x + 18y + [-54x + 27xy + -81x2] + 3y * [-6 + -9x + 3y]] = 0
[-36 + -54x + 18y + -54x + 27xy + -81x2 + [-6 * 3y + -9x * 3y + 3y * 3y]] = 0

Reorder the terms:
[-36 + -54x + 18y + -54x + 27xy + -81x2 + [-27xy + -18y + 9y2]] = 0
[-36 + -54x + 18y + -54x + 27xy + -81x2 + [-27xy + -18y + 9y2]] = 0

Reorder the terms:
[-36 + -54x + -54x + 27xy + -27xy + -81x2 + 18y + -18y + 9y2] = 0

Combine like terms: -54x + -54x = -108x
[-36 + -108x + 27xy + -27xy + -81x2 + 18y + -18y + 9y2] = 0

Combine like terms: 27xy + -27xy = 0
[-36 + -108x + 0 + -81x2 + 18y + -18y + 9y2] = 0
[-36 + -108x + -81x2 + 18y + -18y + 9y2] = 0

Combine like terms: 18y + -18y = 0
[-36 + -108x + -81x2 + 0 + 9y2] = 0
[-36 + -108x + -81x2 + 9y2] = 0

Solving
-36 + -108x + -81x2 + 9y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-4 + -12x + -9x2 + y2) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(-4 + -12x + -9x2 + y2)' equal to zero and attempt to solve:

Simplifying
-4 + -12x + -9x2 + y2 = 0

Solving
-4 + -12x + -9x2 + y2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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