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

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


Simplifying
x2 + -3xy2 + -6x2y = 0

Reorder the terms:
-3xy2 + x2 + -6x2y = 0

Solving
-3xy2 + x2 + -6x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3y2 + x + -6xy) = 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 '(-3y2 + x + -6xy)' equal to zero and attempt to solve: Simplifying -3y2 + x + -6xy = 0 Reorder the terms: x + -6xy + -3y2 = 0 Solving x + -6xy + -3y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '3y2' to each side of the equation. x + -6xy + -3y2 + 3y2 = 0 + 3y2 Combine like terms: -3y2 + 3y2 = 0 x + -6xy + 0 = 0 + 3y2 x + -6xy = 0 + 3y2 Remove the zero: x + -6xy = 3y2 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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