2xy+2xy(2x+y-1)=10

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Solution for 2xy+2xy(2x+y-1)=10 equation: 


Simplifying
2xy + 2xy(2x + y + -1) = 10

Reorder the terms:
2xy + 2xy(-1 + 2x + y) = 10
2xy + (-1 * 2xy + 2x * 2xy + y * 2xy) = 10

Reorder the terms:
2xy + (-2xy + 2xy2 + 4x2y) = 10
2xy + (-2xy + 2xy2 + 4x2y) = 10

Combine like terms: 2xy + -2xy = 0
0 + 2xy2 + 4x2y = 10
2xy2 + 4x2y = 10

Solving
2xy2 + 4x2y = 10

Solving for variable 'x'.

Reorder the terms:
-10 + 2xy2 + 4x2y = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 2xy2 + 4x2y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + xy2 + 2x2y) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + xy2 + 2x2y)' equal to zero and attempt to solve:

Simplifying
-5 + xy2 + 2x2y = 0

Solving
-5 + xy2 + 2x2y = 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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