3a^5-81a^2=0

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Solution for 3a^5-81a^2=0 equation:


Simplifying
3a5 + -81a2 = 0

Reorder the terms:
-81a2 + 3a5 = 0

Solving
-81a2 + 3a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3a2'.
3a2(-27 + a3) = 0

Ignore the factor 3.

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 '(-27 + a3)' equal to zero and attempt to solve: Simplifying -27 + a3 = 0 Solving -27 + a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + a3 = 0 + 27 Combine like terms: -27 + 27 = 0 0 + a3 = 0 + 27 a3 = 0 + 27 Combine like terms: 0 + 27 = 27 a3 = 27 Simplifying a3 = 27 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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