C^3+5C^2=0

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Solution for C^3+5C^2=0 equation:


Simplifying
C3 + 5C2 = 0

Reorder the terms:
5C2 + C3 = 0

Solving
5C2 + C3 = 0

Solving for variable 'C'.

Factor out the Greatest Common Factor (GCF), 'C2'.
C2(5 + C) = 0

Subproblem 1

Set the factor 'C2' equal to zero and attempt to solve: Simplifying C2 = 0 Solving C2 = 0 Move all terms containing C to the left, all other terms to the right. Simplifying C2 = 0 Take the square root of each side: C = {0}

Subproblem 2

Set the factor '(5 + C)' equal to zero and attempt to solve: Simplifying 5 + C = 0 Solving 5 + C = 0 Move all terms containing C to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + C = 0 + -5 Combine like terms: 5 + -5 = 0 0 + C = 0 + -5 C = 0 + -5 Combine like terms: 0 + -5 = -5 C = -5 Simplifying C = -5

Solution

C = {0, -5}

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