3z^11-3z^5=0

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Solution for 3z^11-3z^5=0 equation:


Simplifying
3z11 + -3z5 = 0

Reorder the terms:
-3z5 + 3z11 = 0

Solving
-3z5 + 3z11 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '3z5'.
3z5(-1 + z6) = 0

Factor a difference between two squares.
3z5((1 + z3)(-1 + z3)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'z5' equal to zero and attempt to solve: Simplifying z5 = 0 Solving z5 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z5 = 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 '(1 + z3)' equal to zero and attempt to solve: Simplifying 1 + z3 = 0 Solving 1 + z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + z3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + z3 = 0 + -1 z3 = 0 + -1 Combine like terms: 0 + -1 = -1 z3 = -1 Simplifying z3 = -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 '(-1 + z3)' equal to zero and attempt to solve: Simplifying -1 + z3 = 0 Solving -1 + z3 = 0 Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + z3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + z3 = 0 + 1 z3 = 0 + 1 Combine like terms: 0 + 1 = 1 z3 = 1 Simplifying z3 = 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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