a^5+8a^2=0

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Solution for a^5+8a^2=0 equation:


Simplifying
a5 + 8a2 = 0

Reorder the terms:
8a2 + a5 = 0

Solving
8a2 + a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a2'.
a2(8 + a3) = 0

Subproblem 1

Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}

Subproblem 2

Set the factor '(8 + a3)' equal to zero and attempt to solve: Simplifying 8 + a3 = 0 Solving 8 + a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + a3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + a3 = 0 + -8 a3 = 0 + -8 Combine like terms: 0 + -8 = -8 a3 = -8 Simplifying a3 = -8 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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