2x^2+5xy+9xy^2=0

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Solution for 2x^2+5xy+9xy^2=0 equation: 


Simplifying
2x2 + 5xy + 9xy2 = 0

Reorder the terms:
5xy + 9xy2 + 2x2 = 0

Solving
5xy + 9xy2 + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(5y + 9y2 + 2x) = 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 '(5y + 9y2 + 2x)' equal to zero and attempt to solve:

Simplifying
5y + 9y2 + 2x = 0

Reorder the terms:
2x + 5y + 9y2 = 0

Solving
2x + 5y + 9y2 = 0

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

Add '-5y' to each side of the equation.
2x + 5y + -5y + 9y2 = 0 + -5y

Combine like terms: 5y + -5y = 0
2x + 0 + 9y2 = 0 + -5y
2x + 9y2 = 0 + -5y
Remove the zero:
2x + 9y2 = -5y

Add '-9y2' to each side of the equation.
2x + 9y2 + -9y2 = -5y + -9y2

Combine like terms: 9y2 + -9y2 = 0
2x + 0 = -5y + -9y2
2x = -5y + -9y2

Divide each side by '2'.
x = -2.5y + -4.5y2

Simplifying
x = -2.5y + -4.5y2
Solution
x = {0, -2.5y + -4.5y2}

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