((x+2)(5y+10xy))=20

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Solution for ((x+2)(5y+10xy))=20 equation: 


Simplifying
((x + 2)(5y + 10xy)) = 20

Reorder the terms:
((2 + x)(5y + 10xy)) = 20

Reorder the terms:
((2 + x)(10xy + 5y)) = 20

Multiply (2 + x) * (10xy + 5y)
((2(10xy + 5y) + x(10xy + 5y))) = 20
(((10xy * 2 + 5y * 2) + x(10xy + 5y))) = 20
(((20xy + 10y) + x(10xy + 5y))) = 20
((20xy + 10y + (10xy * x + 5y * x))) = 20

Reorder the terms:
((20xy + 10y + (5xy + 10x2y))) = 20
((20xy + 10y + (5xy + 10x2y))) = 20

Reorder the terms:
((20xy + 5xy + 10x2y + 10y)) = 20

Combine like terms: 20xy + 5xy = 25xy
((25xy + 10x2y + 10y)) = 20
(25xy + 10x2y + 10y) = 20

Remove parenthesis around (25xy + 10x2y + 10y)
25xy + 10x2y + 10y = 20

Solving
25xy + 10x2y + 10y = 20

Solving for variable 'x'.

Reorder the terms:
-20 + 25xy + 10x2y + 10y = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 25xy + 10x2y + 10y = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + 5xy + 2x2y + 2y) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-4 + 5xy + 2x2y + 2y)' equal to zero and attempt to solve:

Simplifying
-4 + 5xy + 2x2y + 2y = 0

Solving
-4 + 5xy + 2x2y + 2y = 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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