2a^3+8a=0

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Solution for 2a^3+8a=0 equation:


Simplifying
2a3 + 8a = 0

Reorder the terms:
8a + 2a3 = 0

Solving
8a + 2a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(4 + a2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

Subproblem 2

Set the factor '(4 + a2)' equal to zero and attempt to solve: Simplifying 4 + a2 = 0 Solving 4 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + a2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a2 = 0 + -4 a2 = 0 + -4 Combine like terms: 0 + -4 = -4 a2 = -4 Simplifying a2 = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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