4a^4=-256a

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Solution for 4a^4=-256a equation:


Simplifying
4a4 = -256a

Solving
4a4 = -256a

Solving for variable 'a'.

Reorder the terms:
256a + 4a4 = -256a + 256a

Combine like terms: -256a + 256a = 0
256a + 4a4 = 0

Factor out the Greatest Common Factor (GCF), '4a'.
4a(64 + a3) = 0

Ignore the factor 4.

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 '(64 + a3)' equal to zero and attempt to solve: Simplifying 64 + a3 = 0 Solving 64 + a3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + a3 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + a3 = 0 + -64 a3 = 0 + -64 Combine like terms: 0 + -64 = -64 a3 = -64 Simplifying a3 = -64 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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