z^5+3z^4=0

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Solution for z^5+3z^4=0 equation:


Simplifying
z5 + 3z4 = 0

Reorder the terms:
3z4 + z5 = 0

Solving
3z4 + z5 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), 'z4'.
z4(3 + 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 '(3 + z)' equal to zero and attempt to solve: Simplifying 3 + z = 0 Solving 3 + z = 0 Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + z = 0 + -3 z = 0 + -3 Combine like terms: 0 + -3 = -3 z = -3 Simplifying z = -3

Solution

z = {-3}

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