36x^6y^4z^2-25x^2z^10=0

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Solution for 36x^6y^4z^2-25x^2z^10=0 equation: 


Simplifying
36x6y4z2 + -25x2z10 = 0

Reorder the terms:
-25x2z10 + 36x6y4z2 = 0

Solving
-25x2z10 + 36x6y4z2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2z2'.
x2z2(-25z8 + 36x4y4) = 0

Factor a difference between two squares.
x2z2((5z4 + 6x2y2)(-5z4 + 6x2y2)) = 0


Subproblem 1
Set the factor 'x2z2' equal to zero and attempt to solve:

Simplifying
x2z2 = 0

Solving
x2z2 = 0

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

Simplifying
x2z2 = 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 '(5z4 + 6x2y2)' equal to zero and attempt to solve:

Simplifying
5z4 + 6x2y2 = 0

Reorder the terms:
6x2y2 + 5z4 = 0

Solving
6x2y2 + 5z4 = 0

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

Add '-5z4' to each side of the equation.
6x2y2 + 5z4 + -5z4 = 0 + -5z4

Combine like terms: 5z4 + -5z4 = 0
6x2y2 + 0 = 0 + -5z4
6x2y2 = 0 + -5z4
Remove the zero:
6x2y2 = -5z4

Divide each side by '6y2'.
x2 = -0.8333333333y-2z4

Simplifying
x2 = -0.8333333333y-2z4

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 '(-5z4 + 6x2y2)' equal to zero and attempt to solve:

Simplifying
-5z4 + 6x2y2 = 0

Reorder the terms:
6x2y2 + -5z4 = 0

Solving
6x2y2 + -5z4 = 0

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

Add '5z4' to each side of the equation.
6x2y2 + -5z4 + 5z4 = 0 + 5z4

Combine like terms: -5z4 + 5z4 = 0
6x2y2 + 0 = 0 + 5z4
6x2y2 = 0 + 5z4
Remove the zero:
6x2y2 = 5z4

Divide each side by '6y2'.
x2 = 0.8333333333y-2z4

Simplifying
x2 = 0.8333333333y-2z4

Take the square root of each side:
x = {-0.912870929y-1z2, 0.912870929y-1z2}
Solution
x = {-0.912870929y-1z2, 0.912870929y-1z2}

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