=x^2+4xy+5y

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Solution for =x^2+4xy+5y equation:


Simplifying
0 = x2 + 4xy + 5y

Reorder the terms:
0 = 4xy + x2 + 5y

Solving
0 = 4xy + x2 + 5y

Solving for variable 'x'.
Remove the zero:
-4xy + -1x2 + -5y = 4xy + x2 + 5y + -4xy + -1x2 + -5y

Reorder the terms:
-4xy + -1x2 + -5y = 4xy + -4xy + x2 + -1x2 + 5y + -5y

Combine like terms: 4xy + -4xy = 0
-4xy + -1x2 + -5y = 0 + x2 + -1x2 + 5y + -5y
-4xy + -1x2 + -5y = x2 + -1x2 + 5y + -5y

Combine like terms: x2 + -1x2 = 0
-4xy + -1x2 + -5y = 0 + 5y + -5y
-4xy + -1x2 + -5y = 5y + -5y

Combine like terms: 5y + -5y = 0
-4xy + -1x2 + -5y = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4xy + x2 + 5y) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(4xy + x2 + 5y)' equal to zero and attempt to solve:

Simplifying
4xy + x2 + 5y = 0

Solving
4xy + x2 + 5y = 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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