(2x+2y+1)(6y+x-6)=180

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Solution for (2x+2y+1)(6y+x-6)=180 equation: 


Simplifying
(2x + 2y + 1)(6y + x + -6) = 180

Reorder the terms:
(1 + 2x + 2y)(6y + x + -6) = 180

Reorder the terms:
(1 + 2x + 2y)(-6 + x + 6y) = 180

Multiply (1 + 2x + 2y) * (-6 + x + 6y)
(1(-6 + x + 6y) + 2x * (-6 + x + 6y) + 2y * (-6 + x + 6y)) = 180
((-6 * 1 + x * 1 + 6y * 1) + 2x * (-6 + x + 6y) + 2y * (-6 + x + 6y)) = 180
((-6 + 1x + 6y) + 2x * (-6 + x + 6y) + 2y * (-6 + x + 6y)) = 180
(-6 + 1x + 6y + (-6 * 2x + x * 2x + 6y * 2x) + 2y * (-6 + x + 6y)) = 180

Reorder the terms:
(-6 + 1x + 6y + (-12x + 12xy + 2x2) + 2y * (-6 + x + 6y)) = 180
(-6 + 1x + 6y + (-12x + 12xy + 2x2) + 2y * (-6 + x + 6y)) = 180
(-6 + 1x + 6y + -12x + 12xy + 2x2 + (-6 * 2y + x * 2y + 6y * 2y)) = 180

Reorder the terms:
(-6 + 1x + 6y + -12x + 12xy + 2x2 + (2xy + -12y + 12y2)) = 180
(-6 + 1x + 6y + -12x + 12xy + 2x2 + (2xy + -12y + 12y2)) = 180

Reorder the terms:
(-6 + 1x + -12x + 12xy + 2xy + 2x2 + 6y + -12y + 12y2) = 180

Combine like terms: 1x + -12x = -11x
(-6 + -11x + 12xy + 2xy + 2x2 + 6y + -12y + 12y2) = 180

Combine like terms: 12xy + 2xy = 14xy
(-6 + -11x + 14xy + 2x2 + 6y + -12y + 12y2) = 180

Combine like terms: 6y + -12y = -6y
(-6 + -11x + 14xy + 2x2 + -6y + 12y2) = 180

Solving
-6 + -11x + 14xy + 2x2 + -6y + 12y2 = 180

Solving for variable 'x'.

Reorder the terms:
-6 + -180 + -11x + 14xy + 2x2 + -6y + 12y2 = 180 + -180

Combine like terms: -6 + -180 = -186
-186 + -11x + 14xy + 2x2 + -6y + 12y2 = 180 + -180

Combine like terms: 180 + -180 = 0
-186 + -11x + 14xy + 2x2 + -6y + 12y2 = 0

The solution to this equation could not be determined.

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