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

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


Simplifying
(x3 + 3y)(2x3 + 3y) = 0

Multiply (x3 + 3y) * (2x3 + 3y)
(x3(2x3 + 3y) + 3y * (2x3 + 3y)) = 0
((2x3 * x3 + 3y * x3) + 3y * (2x3 + 3y)) = 0

Reorder the terms:
((3x3y + 2x6) + 3y * (2x3 + 3y)) = 0
((3x3y + 2x6) + 3y * (2x3 + 3y)) = 0
(3x3y + 2x6 + (2x3 * 3y + 3y * 3y)) = 0
(3x3y + 2x6 + (6x3y + 9y2)) = 0

Reorder the terms:
(3x3y + 6x3y + 2x6 + 9y2) = 0

Combine like terms: 3x3y + 6x3y = 9x3y
(9x3y + 2x6 + 9y2) = 0

Solving
9x3y + 2x6 + 9y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x3 + 3y)(x3 + 3y) = 0


Subproblem 1
Set the factor '(2x3 + 3y)' equal to zero and attempt to solve:

Simplifying
2x3 + 3y = 0

Solving
2x3 + 3y = 0

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

Add '-3y' to each side of the equation.
2x3 + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
2x3 + 0 = 0 + -3y
2x3 = 0 + -3y
Remove the zero:
2x3 = -3y

Divide each side by '2'.
x3 = -1.5y

Simplifying
x3 = -1.5y

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 '(x3 + 3y)' equal to zero and attempt to solve:

Simplifying
x3 + 3y = 0

Solving
x3 + 3y = 0

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

Add '-3y' to each side of the equation.
x3 + 3y + -3y = 0 + -3y

Combine like terms: 3y + -3y = 0
x3 + 0 = 0 + -3y
x3 = 0 + -3y
Remove the zero:
x3 = -3y

Simplifying
x3 = -3y

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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