6x(xy+3x-1y)=0

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Solution for 6x(xy+3x-1y)=0 equation: 


Simplifying
6x(xy + 3x + -1y) = 0

Reorder the terms:
6x(3x + xy + -1y) = 0
(3x * 6x + xy * 6x + -1y * 6x) = 0

Reorder the terms:
(-6xy + 18x2 + 6x2y) = 0
(-6xy + 18x2 + 6x2y) = 0

Solving
-6xy + 18x2 + 6x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-1y + 3x + xy) = 0

Ignore the factor 6.

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 '(-1y + 3x + xy)' equal to zero and attempt to solve:

Simplifying
-1y + 3x + xy = 0

Reorder the terms:
3x + xy + -1y = 0

Solving
3x + xy + -1y = 0

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

Add 'y' to each side of the equation.
3x + xy + -1y + y = 0 + y

Combine like terms: -1y + y = 0
3x + xy + 0 = 0 + y
3x + xy = 0 + y
Remove the zero:
3x + xy = y

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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