2x^4y^2+44x^3y^3+240x^2y^4=0

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Solution for 2x^4y^2+44x^3y^3+240x^2y^4=0 equation: 


Simplifying
2x4y2 + 44x3y3 + 240x2y4 = 0

Reorder the terms:
240x2y4 + 44x3y3 + 2x4y2 = 0

Solving
240x2y4 + 44x3y3 + 2x4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2y2'.
2x2y2(120y2 + 22xy + x2) = 0

Factor a trinomial.
2x2y2((12y + x)(10y + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve:

Simplifying
x2y2 = 0

Solving
x2y2 = 0

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

Simplifying
x2y2 = 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 '(12y + x)' equal to zero and attempt to solve:

Simplifying
12y + x = 0

Reorder the terms:
x + 12y = 0

Solving
x + 12y = 0

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

Add '-12y' to each side of the equation.
x + 12y + -12y = 0 + -12y

Combine like terms: 12y + -12y = 0
x + 0 = 0 + -12y
x = 0 + -12y
Remove the zero:
x = -12y

Simplifying
x = -12y

Subproblem 3
Set the factor '(10y + x)' equal to zero and attempt to solve:

Simplifying
10y + x = 0

Reorder the terms:
x + 10y = 0

Solving
x + 10y = 0

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

Add '-10y' to each side of the equation.
x + 10y + -10y = 0 + -10y

Combine like terms: 10y + -10y = 0
x + 0 = 0 + -10y
x = 0 + -10y
Remove the zero:
x = -10y

Simplifying
x = -10y
Solution
x = {-12y, -10y}

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