2x^3*y+3x^2*y^2+6x*y^2+6y^3=

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Solution for 2x^3*y+3x^2*y^2+6x*y^2+6y^3= equation:


Simplifying
2x3 * y + 3x2 * y2 + 6x * y2 + 6y3 = 0

Multiply x3 * y
2x3y + 3x2 * y2 + 6x * y2 + 6y3 = 0

Multiply x2 * y2
2x3y + 3x2y2 + 6x * y2 + 6y3 = 0

Multiply x * y2
2x3y + 3x2y2 + 6xy2 + 6y3 = 0

Reorder the terms:
6xy2 + 3x2y2 + 2x3y + 6y3 = 0

Solving
6xy2 + 3x2y2 + 2x3y + 6y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(6xy + 3x2y + 2x3 + 6y2) = 0

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y 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 '(6xy + 3x2y + 2x3 + 6y2)' equal to zero and attempt to solve: Simplifying 6xy + 3x2y + 2x3 + 6y2 = 0 Solving 6xy + 3x2y + 2x3 + 6y2 = 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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