x*(x*y)*(x*y^2)=216

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Solution for x*(x*y)*(x*y^2)=216 equation: 


Simplifying
x(x * y)(x * y2) = 216

Multiply x * y
x(xy)(x * y2) = 216

Multiply x * y2
x * xy(xy2) = 216

Multiply x * xy
x2y * xy2 = 216

Multiply x2y * xy2
x3y3 = 216

Solving
x3y3 = 216

Solving for variable 'x'.

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

Divide each side by 'y3'.
x3 = 216y-3

Simplifying
x3 = 216y-3

Combine like terms: 216y-3 + -216y-3 = 0
x3 + -216y-3 = 0

Factor out the Greatest Common Factor (GCF), 'y-3'.
y-3(x3y3 + -216) = 0


Subproblem 1
Set the factor 'y-3' equal to zero and attempt to solve:

Simplifying
y-3 = 0

Solving
y-3 = 0

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

Add '-1y-3' to each side of the equation.
y-3 + -1y-3 = 0 + -1y-3
Remove the zero:
0 = -1y-3

Simplifying
0 = -1y-3

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 '(x3y3 + -216)' equal to zero and attempt to solve:

Simplifying
x3y3 + -216 = 0

Reorder the terms:
-216 + x3y3 = 0

Solving
-216 + x3y3 = 0

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

Add '216' to each side of the equation.
-216 + 216 + x3y3 = 0 + 216

Combine like terms: -216 + 216 = 0
0 + x3y3 = 0 + 216
x3y3 = 0 + 216

Combine like terms: 0 + 216 = 216
x3y3 = 216

Divide each side by 'y3'.
x3 = 216y-3

Simplifying
x3 = 216y-3

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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