6xy(x+y)+5xy=

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Solution for 6xy(x+y)+5xy= equation: 


Simplifying
6xy(x + y) + 5xy = 0
(x * 6xy + y * 6xy) + 5xy = 0

Reorder the terms:
(6xy2 + 6x2y) + 5xy = 0
(6xy2 + 6x2y) + 5xy = 0

Reorder the terms:
5xy + 6xy2 + 6x2y = 0

Solving
5xy + 6xy2 + 6x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(5 + 6y + 6x) = 0


Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(5 + 6y + 6x)' equal to zero and attempt to solve:

Simplifying
5 + 6y + 6x = 0

Reorder the terms:
5 + 6x + 6y = 0

Solving
5 + 6x + 6y = 0

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

Add '-5' to each side of the equation.
5 + 6x + -5 + 6y = 0 + -5

Reorder the terms:
5 + -5 + 6x + 6y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6x + 6y = 0 + -5
6x + 6y = 0 + -5

Combine like terms: 0 + -5 = -5
6x + 6y = -5

Add '-6y' to each side of the equation.
6x + 6y + -6y = -5 + -6y

Combine like terms: 6y + -6y = 0
6x + 0 = -5 + -6y
6x = -5 + -6y

Divide each side by '6'.
x = -0.8333333333 + -1y

Simplifying
x = -0.8333333333 + -1y
Solution
x = {-0.8333333333 + -1y}

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