3ab*6ab*2ab=36ab

Solution for 3ab*6ab*2ab=36ab equation:

Simplifying
3ab * 6ab * 2ab = 36ab

Reorder the terms for easier multiplication:
3 * 6 * 2ab * ab * ab = 36ab

Multiply 3 * 6
18 * 2ab * ab * ab = 36ab

Multiply 18 * 2
36ab * ab * ab = 36ab

Multiply ab * ab
36a2b2 * ab = 36ab

Multiply a2b2 * ab
36a3b3 = 36ab

Solving
36a3b3 = 36ab

Solving for variable 'a'.

Reorder the terms:
-36ab + 36a3b3 = 36ab + -36ab

Combine like terms: 36ab + -36ab = 0
-36ab + 36a3b3 = 0

Factor out the Greatest Common Factor (GCF), '36ab'.
36ab(-1 + a2b2) = 0

Factor a difference between two squares.
36ab((1 + ab)(-1 + ab)) = 0

Ignore the factor 36.
Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve:

Simplifying
ab = 0

Solving
ab = 0

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

Simplifying
ab = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(1 + ab)' equal to zero and attempt to solve:

Simplifying
1 + ab = 0

Solving
1 + ab = 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 + ab = 0 + -1

Combine like terms: 1 + -1 = 0
0 + ab = 0 + -1
ab = 0 + -1

Combine like terms: 0 + -1 = -1
ab = -1

Divide each side by 'b'.
a = -1b-1

Simplifying
a = -1b-1
Subproblem 3
Set the factor '(-1 + ab)' equal to zero and attempt to solve:

Simplifying
-1 + ab = 0

Solving
-1 + ab = 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 + ab = 0 + 1

Combine like terms: -1 + 1 = 0
0 + ab = 0 + 1
ab = 0 + 1

Combine like terms: 0 + 1 = 1
ab = 1

Divide each side by 'b'.
a = b-1

Simplifying
a = b-1
Solution
a = {-1b-1, b-1}