5x+6xy=3xy

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Solution for 5x+6xy=3xy equation: 


Simplifying
5x + 6xy = 3xy

Solving
5x + 6xy = 3xy

Solving for variable 'x'.

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

Add '-3xy' to each side of the equation.
5x + 6xy + -3xy = 3xy + -3xy

Combine like terms: 6xy + -3xy = 3xy
5x + 3xy = 3xy + -3xy

Combine like terms: 3xy + -3xy = 0
5x + 3xy = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(5 + 3y) = 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 '(5 + 3y)' equal to zero and attempt to solve:

Simplifying
5 + 3y = 0

Solving
5 + 3y = 0

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

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

Combine like terms: 5 + -5 = 0
0 + 3y = 0 + -5
3y = 0 + -5

Combine like terms: 0 + -5 = -5
3y = -5

Add '-3y' to each side of the equation.
3y + -3y = -5 + -3y

Combine like terms: 3y + -3y = 0
0 = -5 + -3y

Simplifying
0 = -5 + -3y

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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