5x^2+13xy-6xy^2=0

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Solution for 5x^2+13xy-6xy^2=0 equation: 


Simplifying
5x2 + 13xy + -6xy2 = 0

Reorder the terms:
13xy + -6xy2 + 5x2 = 0

Solving
13xy + -6xy2 + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(13y + -6y2 + 5x) = 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 '(13y + -6y2 + 5x)' equal to zero and attempt to solve:

Simplifying
13y + -6y2 + 5x = 0

Reorder the terms:
5x + 13y + -6y2 = 0

Solving
5x + 13y + -6y2 = 0

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

Add '-13y' to each side of the equation.
5x + 13y + -13y + -6y2 = 0 + -13y

Combine like terms: 13y + -13y = 0
5x + 0 + -6y2 = 0 + -13y
5x + -6y2 = 0 + -13y
Remove the zero:
5x + -6y2 = -13y

Add '6y2' to each side of the equation.
5x + -6y2 + 6y2 = -13y + 6y2

Combine like terms: -6y2 + 6y2 = 0
5x + 0 = -13y + 6y2
5x = -13y + 6y2

Divide each side by '5'.
x = -2.6y + 1.2y2

Simplifying
x = -2.6y + 1.2y2
Solution
x = {0, -2.6y + 1.2y2}

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