72xy^4-24xy^2z+2xz^2=

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Solution for 72xy^4-24xy^2z+2xz^2= equation: 


Simplifying
72xy4 + -24xy2z + 2xz2 = 0

Reorder the terms:
-24xy2z + 72xy4 + 2xz2 = 0

Solving
-24xy2z + 72xy4 + 2xz2 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-12y2z + 36y4 + z2) = 0

Factor a trinomial.
2x((6y2 + -1z)(6y2 + -1z)) = 0

Ignore the factor 2.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(6y2 + -1z)' equal to zero and attempt to solve:

Simplifying
6y2 + -1z = 0

Solving
6y2 + -1z = 0

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

Add '-6y2' to each side of the equation.
6y2 + -6y2 + -1z = 0 + -6y2

Combine like terms: 6y2 + -6y2 = 0
0 + -1z = 0 + -6y2
-1z = 0 + -6y2
Remove the zero:
-1z = -6y2

Add 'z' to each side of the equation.
-1z + z = -6y2 + z

Combine like terms: -1z + z = 0
0 = -6y2 + z

Simplifying
0 = -6y2 + z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(6y2 + -1z)' equal to zero and attempt to solve:

Simplifying
6y2 + -1z = 0

Solving
6y2 + -1z = 0

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

Add '-6y2' to each side of the equation.
6y2 + -6y2 + -1z = 0 + -6y2

Combine like terms: 6y2 + -6y2 = 0
0 + -1z = 0 + -6y2
-1z = 0 + -6y2
Remove the zero:
-1z = -6y2

Add 'z' to each side of the equation.
-1z + z = -6y2 + z

Combine like terms: -1z + z = 0
0 = -6y2 + z

Simplifying
0 = -6y2 + z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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