z^5-z^4=

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Solution for z^5-z^4= equation:


Simplifying
z5 + -1z4 = 0

Reorder the terms:
-1z4 + z5 = 0

Solving
-1z4 + z5 = 0

Solving for variable 'z'.

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

Subproblem 1

Set the factor 'z4' equal to zero and attempt to solve: Simplifying z4 = 0 Solving z4 = 0 Move all terms containing z to the left, all other terms to the right. Simplifying z4 = 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 + z)' equal to zero and attempt to solve: Simplifying -1 + z = 0 Solving -1 + z = 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 + z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + z = 0 + 1 z = 0 + 1 Combine like terms: 0 + 1 = 1 z = 1 Simplifying z = 1

Solution

z = {1}

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