8a^6+16a^2=0

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Solution for 8a^6+16a^2=0 equation:


Simplifying
8a6 + 16a2 = 0

Reorder the terms:
16a2 + 8a6 = 0

Solving
16a2 + 8a6 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '8a2'.
8a2(2 + a4) = 0

Ignore the factor 8.

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 '(2 + a4)' equal to zero and attempt to solve: Simplifying 2 + a4 = 0 Solving 2 + a4 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + a4 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + a4 = 0 + -2 a4 = 0 + -2 Combine like terms: 0 + -2 = -2 a4 = -2 Simplifying a4 = -2 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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