2a^4+8a=2a

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Solution for 2a^4+8a=2a equation:


Simplifying
2a4 + 8a = 2a

Reorder the terms:
8a + 2a4 = 2a

Solving
8a + 2a4 = 2a

Solving for variable 'a'.

Reorder the terms:
8a + -2a + 2a4 = 2a + -2a

Combine like terms: 8a + -2a = 6a
6a + 2a4 = 2a + -2a

Combine like terms: 2a + -2a = 0
6a + 2a4 = 0

Factor out the Greatest Common Factor (GCF), '2a'.
2a(3 + a3) = 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 '(3 + a3)' equal to zero and attempt to solve: Simplifying 3 + a3 = 0 Solving 3 + a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + a3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a3 = 0 + -3 a3 = 0 + -3 Combine like terms: 0 + -3 = -3 a3 = -3 Simplifying a3 = -3 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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