2y+2x+2-2y(-6x-2y-5)=0

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Solution for 2y+2x+2-2y(-6x-2y-5)=0 equation: 


Simplifying
2y + 2x + 2 + -2y(-6x + -2y + -5) = 0

Reorder the terms:
2y + 2x + 2 + -2y(-5 + -6x + -2y) = 0
2y + 2x + 2 + (-5 * -2y + -6x * -2y + -2y * -2y) = 0

Reorder the terms:
2y + 2x + 2 + (12xy + 10y + 4y2) = 0
2y + 2x + 2 + (12xy + 10y + 4y2) = 0

Reorder the terms:
2 + 2x + 12xy + 2y + 10y + 4y2 = 0

Combine like terms: 2y + 10y = 12y
2 + 2x + 12xy + 12y + 4y2 = 0

Solving
2 + 2x + 12xy + 12y + 4y2 = 0

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + 2x + 12xy + 12y + -2 + 4y2 = 0 + -2

Reorder the terms:
2 + -2 + 2x + 12xy + 12y + 4y2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2x + 12xy + 12y + 4y2 = 0 + -2
2x + 12xy + 12y + 4y2 = 0 + -2

Combine like terms: 0 + -2 = -2
2x + 12xy + 12y + 4y2 = -2

Add '-12y' to each side of the equation.
2x + 12xy + 12y + -12y + 4y2 = -2 + -12y

Combine like terms: 12y + -12y = 0
2x + 12xy + 0 + 4y2 = -2 + -12y
2x + 12xy + 4y2 = -2 + -12y

Add '-4y2' to each side of the equation.
2x + 12xy + 4y2 + -4y2 = -2 + -12y + -4y2

Combine like terms: 4y2 + -4y2 = 0
2x + 12xy + 0 = -2 + -12y + -4y2
2x + 12xy = -2 + -12y + -4y2

Reorder the terms:
2 + 2x + 12xy + 12y + 4y2 = -2 + -12y + -4y2 + 2 + 12y + 4y2

Reorder the terms:
2 + 2x + 12xy + 12y + 4y2 = -2 + 2 + -12y + 12y + -4y2 + 4y2

Combine like terms: -2 + 2 = 0
2 + 2x + 12xy + 12y + 4y2 = 0 + -12y + 12y + -4y2 + 4y2
2 + 2x + 12xy + 12y + 4y2 = -12y + 12y + -4y2 + 4y2

Combine like terms: -12y + 12y = 0
2 + 2x + 12xy + 12y + 4y2 = 0 + -4y2 + 4y2
2 + 2x + 12xy + 12y + 4y2 = -4y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
2 + 2x + 12xy + 12y + 4y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + x + 6xy + 6y + 2y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + x + 6xy + 6y + 2y2)' equal to zero and attempt to solve:

Simplifying
1 + x + 6xy + 6y + 2y2 = 0

Solving
1 + x + 6xy + 6y + 2y2 = 0

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

Add '-1' to each side of the equation.
1 + x + 6xy + 6y + -1 + 2y2 = 0 + -1

Reorder the terms:
1 + -1 + x + 6xy + 6y + 2y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x + 6xy + 6y + 2y2 = 0 + -1
x + 6xy + 6y + 2y2 = 0 + -1

Combine like terms: 0 + -1 = -1
x + 6xy + 6y + 2y2 = -1

Add '-6y' to each side of the equation.
x + 6xy + 6y + -6y + 2y2 = -1 + -6y

Combine like terms: 6y + -6y = 0
x + 6xy + 0 + 2y2 = -1 + -6y
x + 6xy + 2y2 = -1 + -6y

Add '-2y2' to each side of the equation.
x + 6xy + 2y2 + -2y2 = -1 + -6y + -2y2

Combine like terms: 2y2 + -2y2 = 0
x + 6xy + 0 = -1 + -6y + -2y2
x + 6xy = -1 + -6y + -2y2

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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