(4x^2+2y)(3x+y^2)=0

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Solution for (4x^2+2y)(3x+y^2)=0 equation: 


Simplifying
(4x2 + 2y)(3x + y2) = 0

Multiply (4x2 + 2y) * (3x + y2)
(4x2 * (3x + y2) + 2y * (3x + y2)) = 0
((3x * 4x2 + y2 * 4x2) + 2y * (3x + y2)) = 0

Reorder the terms:
((4x2y2 + 12x3) + 2y * (3x + y2)) = 0
((4x2y2 + 12x3) + 2y * (3x + y2)) = 0
(4x2y2 + 12x3 + (3x * 2y + y2 * 2y)) = 0
(4x2y2 + 12x3 + (6xy + 2y3)) = 0

Reorder the terms:
(6xy + 4x2y2 + 12x3 + 2y3) = 0
(6xy + 4x2y2 + 12x3 + 2y3) = 0

Solving
6xy + 4x2y2 + 12x3 + 2y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3xy + 2x2y2 + 6x3 + y3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(3xy + 2x2y2 + 6x3 + y3)' equal to zero and attempt to solve:

Simplifying
3xy + 2x2y2 + 6x3 + y3 = 0

Solving
3xy + 2x2y2 + 6x3 + y3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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