=a+a^2b+a^3b^3

Solution for =a+a^2b+a^3b^3 equation:

Simplifying
0 = a + a2b + a3b3

Solving
0 = a + a2b + a3b3

Solving for variable 'a'.
Remove the zero:
-1a + -1a2b + -1a3b3 = a + a2b + a3b3 + -1a + -1a2b + -1a3b3

Reorder the terms:
-1a + -1a2b + -1a3b3 = a + -1a + a2b + -1a2b + a3b3 + -1a3b3

Combine like terms: a + -1a = 0
-1a + -1a2b + -1a3b3 = 0 + a2b + -1a2b + a3b3 + -1a3b3
-1a + -1a2b + -1a3b3 = a2b + -1a2b + a3b3 + -1a3b3

Combine like terms: a2b + -1a2b = 0
-1a + -1a2b + -1a3b3 = 0 + a3b3 + -1a3b3
-1a + -1a2b + -1a3b3 = a3b3 + -1a3b3

Combine like terms: a3b3 + -1a3b3 = 0
-1a + -1a2b + -1a3b3 = 0

Factor out the Greatest Common Factor (GCF), '-1a'.
-1a(1 + ab + a2b3) = 0

Ignore the factor -1.
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 + ab + a2b3)' equal to zero and attempt to solve:

Simplifying
1 + ab + a2b3 = 0

Solving
1 + ab + a2b3 = 0

The solution to this equation could not be determined.

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