x(3+3y)+xy+6x=

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Solution for x(3+3y)+xy+6x= equation: 


Simplifying
x(3 + 3y) + xy + 6x = 0
(3 * x + 3y * x) + xy + 6x = 0
(3x + 3xy) + xy + 6x = 0

Reorder the terms:
3x + 6x + 3xy + xy = 0

Combine like terms: 3x + 6x = 9x
9x + 3xy + xy = 0

Combine like terms: 3xy + xy = 4xy
9x + 4xy = 0

Solving
9x + 4xy = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + 4y) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(9 + 4y)' equal to zero and attempt to solve:

Simplifying
9 + 4y = 0

Solving
9 + 4y = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4y = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4y = 0 + -9
4y = 0 + -9

Combine like terms: 0 + -9 = -9
4y = -9

Add '-4y' to each side of the equation.
4y + -4y = -9 + -4y

Combine like terms: 4y + -4y = 0
0 = -9 + -4y

Simplifying
0 = -9 + -4y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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