6x^2+4xy-9xy^2=0

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Solution for 6x^2+4xy-9xy^2=0 equation: 


Simplifying
6x2 + 4xy + -9xy2 = 0

Reorder the terms:
4xy + -9xy2 + 6x2 = 0

Solving
4xy + -9xy2 + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(4y + -9y2 + 6x) = 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 '(4y + -9y2 + 6x)' equal to zero and attempt to solve:

Simplifying
4y + -9y2 + 6x = 0

Reorder the terms:
6x + 4y + -9y2 = 0

Solving
6x + 4y + -9y2 = 0

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

Add '-4y' to each side of the equation.
6x + 4y + -4y + -9y2 = 0 + -4y

Combine like terms: 4y + -4y = 0
6x + 0 + -9y2 = 0 + -4y
6x + -9y2 = 0 + -4y
Remove the zero:
6x + -9y2 = -4y

Add '9y2' to each side of the equation.
6x + -9y2 + 9y2 = -4y + 9y2

Combine like terms: -9y2 + 9y2 = 0
6x + 0 = -4y + 9y2
6x = -4y + 9y2

Divide each side by '6'.
x = -0.6666666667y + 1.5y2

Simplifying
x = -0.6666666667y + 1.5y2
Solution
x = {0, -0.6666666667y + 1.5y2}

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