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

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


Simplifying
(x3)(y2) + -1(3x2)(y4) * z + -1xyz2 = 0

Multiply x3 * y2
x3y2 + -1(3x2)(y4) * z + -1xyz2 = 0

Remove parenthesis around (3x2)
x3y2 + -1 * 3x2(y4) * z + -1xyz2 = 0

Multiply -1 * 3
x3y2 + -3x2 * y4 * z + -1xyz2 = 0

Multiply x2 * y4
x3y2 + -3x2y4 * z + -1xyz2 = 0

Multiply x2y4 * z
x3y2 + -3x2y4z + -1xyz2 = 0

Reorder the terms:
-1xyz2 + -3x2y4z + x3y2 = 0

Solving
-1xyz2 + -3x2y4z + x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(-1z2 + -3xy3z + x2y) = 0


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

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 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 '(-1z2 + -3xy3z + x2y)' equal to zero and attempt to solve:

Simplifying
-1z2 + -3xy3z + x2y = 0

Reorder the terms:
-3xy3z + x2y + -1z2 = 0

Solving
-3xy3z + x2y + -1z2 = 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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