z^7-7z^5+7z^3-z=0

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Solution for z^7-7z^5+7z^3-z=0 equation:


Simplifying
z7 + -7z5 + 7z3 + -1z = 0

Reorder the terms:
-1z + 7z3 + -7z5 + z7 = 0

Solving
-1z + 7z3 + -7z5 + z7 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z'.
z(-1 + 7z2 + -7z4 + z6) = 0

Subproblem 1

Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z = 0

Subproblem 2

Set the factor '(-1 + 7z2 + -7z4 + z6)' equal to zero and attempt to solve: Simplifying -1 + 7z2 + -7z4 + z6 = 0 Solving -1 + 7z2 + -7z4 + z6 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

z = {0}

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