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

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


Simplifying
(3x2y + 4z3)(3x2y + -1z3) = 0

Multiply (3x2y + 4z3) * (3x2y + -1z3)
(3x2y * (3x2y + -1z3) + 4z3 * (3x2y + -1z3)) = 0
((3x2y * 3x2y + -1z3 * 3x2y) + 4z3 * (3x2y + -1z3)) = 0

Reorder the terms:
((-3x2yz3 + 9x4y2) + 4z3 * (3x2y + -1z3)) = 0
((-3x2yz3 + 9x4y2) + 4z3 * (3x2y + -1z3)) = 0
(-3x2yz3 + 9x4y2 + (3x2y * 4z3 + -1z3 * 4z3)) = 0
(-3x2yz3 + 9x4y2 + (12x2yz3 + -4z6)) = 0

Reorder the terms:
(-3x2yz3 + 12x2yz3 + 9x4y2 + -4z6) = 0

Combine like terms: -3x2yz3 + 12x2yz3 = 9x2yz3
(9x2yz3 + 9x4y2 + -4z6) = 0

Solving
9x2yz3 + 9x4y2 + -4z6 = 0

Solving for variable 'x'.

Factor a trinomial.
(3x2y + -1z3)(3x2y + 4z3) = 0


Subproblem 1
Set the factor '(3x2y + -1z3)' equal to zero and attempt to solve:

Simplifying
3x2y + -1z3 = 0

Solving
3x2y + -1z3 = 0

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

Add 'z3' to each side of the equation.
3x2y + -1z3 + z3 = 0 + z3

Combine like terms: -1z3 + z3 = 0
3x2y + 0 = 0 + z3
3x2y = 0 + z3
Remove the zero:
3x2y = z3

Divide each side by '3y'.
x2 = 0.3333333333y-1z3

Simplifying
x2 = 0.3333333333y-1z3

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 '(3x2y + 4z3)' equal to zero and attempt to solve:

Simplifying
3x2y + 4z3 = 0

Solving
3x2y + 4z3 = 0

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

Add '-4z3' to each side of the equation.
3x2y + 4z3 + -4z3 = 0 + -4z3

Combine like terms: 4z3 + -4z3 = 0
3x2y + 0 = 0 + -4z3
3x2y = 0 + -4z3
Remove the zero:
3x2y = -4z3

Divide each side by '3y'.
x2 = -1.333333333y-1z3

Simplifying
x2 = -1.333333333y-1z3

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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