Z^2+4Z=0

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Solution for Z^2+4Z=0 equation:


Simplifying
Z2 + 4Z = 0

Reorder the terms:
4Z + Z2 = 0

Solving
4Z + Z2 = 0

Solving for variable 'Z'.

Factor out the Greatest Common Factor (GCF), 'Z'.
Z(4 + Z) = 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 '(4 + Z)' equal to zero and attempt to solve: Simplifying 4 + Z = 0 Solving 4 + Z = 0 Move all terms containing Z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + Z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + Z = 0 + -4 Z = 0 + -4 Combine like terms: 0 + -4 = -4 Z = -4 Simplifying Z = -4

Solution

Z = {0, -4}

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