81a+18a^3+a^5=0

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Solution for 81a+18a^3+a^5=0 equation:


Simplifying
81a + 18a3 + a5 = 0

Solving
81a + 18a3 + a5 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(81 + 18a2 + a4) = 0

Factor a trinomial.
a((9 + a2)(9 + a2)) = 0

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 '(9 + a2)' equal to zero and attempt to solve: Simplifying 9 + a2 = 0 Solving 9 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + a2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + a2 = 0 + -9 a2 = 0 + -9 Combine like terms: 0 + -9 = -9 a2 = -9 Simplifying a2 = -9 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(9 + a2)' equal to zero and attempt to solve: Simplifying 9 + a2 = 0 Solving 9 + a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + a2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + a2 = 0 + -9 a2 = 0 + -9 Combine like terms: 0 + -9 = -9 a2 = -9 Simplifying a2 = -9 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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