(3x+5y)3+3xy=15(xy)2

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Solution for (3x+5y)3+3xy=15(xy)2 equation: 


Simplifying
(3x + 5y) * 3 + 3xy = 15(xy) * 2

Reorder the terms for easier multiplication:
3(3x + 5y) + 3xy = 15(xy) * 2
(3x * 3 + 5y * 3) + 3xy = 15(xy) * 2
(9x + 15y) + 3xy = 15(xy) * 2

Reorder the terms:
9x + 3xy + 15y = 15(xy) * 2

Reorder the terms for easier multiplication:
9x + 3xy + 15y = 15 * 2xy

Multiply 15 * 2
9x + 3xy + 15y = 30xy

Solving
9x + 3xy + 15y = 30xy

Solving for variable 'x'.

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

Add '-30xy' to each side of the equation.
9x + 3xy + -30xy + 15y = 30xy + -30xy

Combine like terms: 3xy + -30xy = -27xy
9x + -27xy + 15y = 30xy + -30xy

Combine like terms: 30xy + -30xy = 0
9x + -27xy + 15y = 0

Add '-15y' to each side of the equation.
9x + -27xy + 15y + -15y = 0 + -15y

Combine like terms: 15y + -15y = 0
9x + -27xy + 0 = 0 + -15y
9x + -27xy = 0 + -15y
Remove the zero:
9x + -27xy = -15y

Combine like terms: -15y + 15y = 0
9x + -27xy + 15y = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(3x + -9xy + 5y) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(3x + -9xy + 5y)' equal to zero and attempt to solve:

Simplifying
3x + -9xy + 5y = 0

Solving
3x + -9xy + 5y = 0

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

Add '-5y' to each side of the equation.
3x + -9xy + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
3x + -9xy + 0 = 0 + -5y
3x + -9xy = 0 + -5y
Remove the zero:
3x + -9xy = -5y

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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