9xy^4-xz^2=0

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Solution for 9xy^4-xz^2=0 equation: 


Simplifying
9xy4 + -1xz2 = 0

Solving
9xy4 + -1xz2 = 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), 'x'.
x(9y4 + -1z2) = 0

Factor a difference between two squares.
x((3y2 + z)(3y2 + -1z)) = 0


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 '(3y2 + z)' equal to zero and attempt to solve:

Simplifying
3y2 + z = 0

Solving
3y2 + z = 0

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

Add '-3y2' to each side of the equation.
3y2 + -3y2 + z = 0 + -3y2

Combine like terms: 3y2 + -3y2 = 0
0 + z = 0 + -3y2
z = 0 + -3y2
Remove the zero:
z = -3y2

Add '-1z' to each side of the equation.
z + -1z = -3y2 + -1z

Combine like terms: z + -1z = 0
0 = -3y2 + -1z

Simplifying
0 = -3y2 + -1z

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 '(3y2 + -1z)' equal to zero and attempt to solve:

Simplifying
3y2 + -1z = 0

Solving
3y2 + -1z = 0

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

Add '-3y2' to each side of the equation.
3y2 + -3y2 + -1z = 0 + -3y2

Combine like terms: 3y2 + -3y2 = 0
0 + -1z = 0 + -3y2
-1z = 0 + -3y2
Remove the zero:
-1z = -3y2

Add 'z' to each side of the equation.
-1z + z = -3y2 + z

Combine like terms: -1z + z = 0
0 = -3y2 + z

Simplifying
0 = -3y2 + 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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