4a^3=64a

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Solution for 4a^3=64a equation:


Simplifying
4a3 = 64a

Solving
4a3 = 64a

Solving for variable 'a'.

Reorder the terms:
-64a + 4a3 = 64a + -64a

Combine like terms: 64a + -64a = 0
-64a + 4a3 = 0

Factor out the Greatest Common Factor (GCF), '4a'.
4a(-16 + a2) = 0

Factor a difference between two squares.
4a((4 + a)(-4 + a)) = 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 '(4 + a)' equal to zero and attempt to solve: Simplifying 4 + a = 0 Solving 4 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + a = 0 + -4 a = 0 + -4 Combine like terms: 0 + -4 = -4 a = -4 Simplifying a = -4

Subproblem 3

Set the factor '(-4 + a)' equal to zero and attempt to solve: Simplifying -4 + a = 0 Solving -4 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + a = 0 + 4 a = 0 + 4 Combine like terms: 0 + 4 = 4 a = 4 Simplifying a = 4

Solution

a = {0, -4, 4}

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