1x^2y-3xy^2-6x^2y=0

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Solution for 1x^2y-3xy^2-6x^2y=0 equation: 


Simplifying
1x2y + -3xy2 + -6x2y = 0

Reorder the terms:
-3xy2 + 1x2y + -6x2y = 0

Combine like terms: 1x2y + -6x2y = -5x2y
-3xy2 + -5x2y = 0

Solving
-3xy2 + -5x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1xy'.
-1xy(3y + 5x) = 0

Ignore the factor -1.

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 '(3y + 5x)' equal to zero and attempt to solve:

Simplifying
3y + 5x = 0

Reorder the terms:
5x + 3y = 0

Solving
5x + 3y = 0

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

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

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

Divide each side by '5'.
x = -0.6y

Simplifying
x = -0.6y
Solution
x = {-0.6y}

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