a*a*a-a=0

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Solution for a*a*a-a=0 equation:


Simplifying
a * a * a + -1a = 0

Multiply a * a
a2 * a + -1a = 0

Multiply a2 * a
a3 + -1a = 0

Reorder the terms:
-1a + a3 = 0

Solving
-1a + a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-1 + a2) = 0

Factor a difference between two squares.
a((1 + a)(-1 + a)) = 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 '(1 + a)' equal to zero and attempt to solve: Simplifying 1 + a = 0 Solving 1 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + a = 0 + -1 a = 0 + -1 Combine like terms: 0 + -1 = -1 a = -1 Simplifying a = -1

Subproblem 3

Set the factor '(-1 + a)' equal to zero and attempt to solve: Simplifying -1 + a = 0 Solving -1 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + a = 0 + 1 a = 0 + 1 Combine like terms: 0 + 1 = 1 a = 1 Simplifying a = 1

Solution

a = {0, -1, 1}

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