a+ab*ab*ab*ab+ab*ab*ab*ab=

Solution for a+ab*ab*ab*ab+ab*ab*ab*ab= equation:

Simplifying
a + ab * ab * ab * ab + ab * ab * ab * ab = 0

Multiply ab * ab
a + a2b2 * ab * ab + ab * ab * ab * ab = 0

Multiply a2b2 * ab
a + a3b3 * ab + ab * ab * ab * ab = 0

Multiply a3b3 * ab
a + a4b4 + ab * ab * ab * ab = 0

Multiply ab * ab
a + a4b4 + a2b2 * ab * ab = 0

Multiply a2b2 * ab
a + a4b4 + a3b3 * ab = 0

Multiply a3b3 * ab
a + a4b4 + a4b4 = 0

Combine like terms: a4b4 + a4b4 = 2a4b4
a + 2a4b4 = 0

Solving
a + 2a4b4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(1 + 2a3b4) = 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 + 2a3b4)' equal to zero and attempt to solve:

Simplifying
1 + 2a3b4 = 0

Solving
1 + 2a3b4 = 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 + 2a3b4 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2a3b4 = 0 + -1
2a3b4 = 0 + -1

Combine like terms: 0 + -1 = -1
2a3b4 = -1

Divide each side by '2b4'.
a3 = -0.5b-4

Simplifying
a3 = -0.5b-4

The solution to this equation could not be determined.

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