(z^5)+(9z^4)=0

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Solution for (z^5)+(9z^4)=0 equation:


Simplifying
(z5) + (9z4) = 0
z5 + (9z4) = 0

Reorder the terms:
(9z4) + z5 = 0

Solving
(9z4) + z5 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z4'.
z4(9 + 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 '(9 + z)' equal to zero and attempt to solve: Simplifying 9 + z = 0 Solving 9 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + z = 0 + -9 Combine like terms: 9 + -9 = 0 0 + z = 0 + -9 z = 0 + -9 Combine like terms: 0 + -9 = -9 z = -9 Simplifying z = -9

Solution

z = {-9}

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