a^3-ab^2-2ab-a=0

Solution for a^3-ab^2-2ab-a=0 equation:

Simplifying
a3 + -1ab2 + -2ab + -1a = 0

Reorder the terms:
-1a + -2ab + -1ab2 + a3 = 0

Solving
-1a + -2ab + -1ab2 + a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-1 + -2b + -1b2 + 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 '(-1 + -2b + -1b2 + a2)' equal to zero and attempt to solve:

Simplifying
-1 + -2b + -1b2 + a2 = 0

Reorder the terms:
-1 + a2 + -2b + -1b2 = 0

Solving
-1 + a2 + -2b + -1b2 = 0

Move all terms containing a to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + a2 + -2b + 1 + -1b2 = 0 + 1

Reorder the terms:
-1 + 1 + a2 + -2b + -1b2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + a2 + -2b + -1b2 = 0 + 1
a2 + -2b + -1b2 = 0 + 1

Combine like terms: 0 + 1 = 1
a2 + -2b + -1b2 = 1

Add '2b' to each side of the equation.
a2 + -2b + 2b + -1b2 = 1 + 2b

Combine like terms: -2b + 2b = 0
a2 + 0 + -1b2 = 1 + 2b
a2 + -1b2 = 1 + 2b

Add 'b2' to each side of the equation.
a2 + -1b2 + b2 = 1 + 2b + b2

Combine like terms: -1b2 + b2 = 0
a2 + 0 = 1 + 2b + b2
a2 = 1 + 2b + b2

Simplifying
a2 = 1 + 2b + b2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
a = {0}