9x^9z^3-162x^6yz^2-171x^3y^2z=0

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Solution for 9x^9z^3-162x^6yz^2-171x^3y^2z=0 equation: 


Simplifying
9x9z3 + -162x6yz2 + -171x3y2z = 0

Reorder the terms:
-171x3y2z + -162x6yz2 + 9x9z3 = 0

Solving
-171x3y2z + -162x6yz2 + 9x9z3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x3z'.
9x3z(-19y2 + -18x3yz + x6z2) = 0

Factor a trinomial.
9x3z((-1y + -1x3z)(19y + -1x3z)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor 'x3z' equal to zero and attempt to solve:

Simplifying
x3z = 0

Solving
x3z = 0

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

Simplifying
x3z = 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 '(-1y + -1x3z)' equal to zero and attempt to solve:

Simplifying
-1y + -1x3z = 0

Reorder the terms:
-1x3z + -1y = 0

Solving
-1x3z + -1y = 0

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

Add 'y' to each side of the equation.
-1x3z + -1y + y = 0 + y

Combine like terms: -1y + y = 0
-1x3z + 0 = 0 + y
-1x3z = 0 + y
Remove the zero:
-1x3z = y

Divide each side by '-1z'.
x3 = -1yz-1

Simplifying
x3 = -1yz-1

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 '(19y + -1x3z)' equal to zero and attempt to solve:

Simplifying
19y + -1x3z = 0

Reorder the terms:
-1x3z + 19y = 0

Solving
-1x3z + 19y = 0

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

Add '-19y' to each side of the equation.
-1x3z + 19y + -19y = 0 + -19y

Combine like terms: 19y + -19y = 0
-1x3z + 0 = 0 + -19y
-1x3z = 0 + -19y
Remove the zero:
-1x3z = -19y

Divide each side by '-1z'.
x3 = 19yz-1

Simplifying
x3 = 19yz-1

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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