z^5+7z^4=0

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Solution for z^5+7z^4=0 equation:


Simplifying
z5 + 7z4 = 0

Reorder the terms:
7z4 + z5 = 0

Solving
7z4 + z5 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z4'.
z4(7 + 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 '(7 + z)' equal to zero and attempt to solve: Simplifying 7 + z = 0 Solving 7 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + z = 0 + -7 Combine like terms: 7 + -7 = 0 0 + z = 0 + -7 z = 0 + -7 Combine like terms: 0 + -7 = -7 z = -7 Simplifying z = -7

Solution

z = {-7}

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