9a(ab)=(9a)b

Solution for 9a(ab)=(9a)b equation:

Simplifying
9a(ab) = (9a) * b

Multiply a * ab
9a2b = (9a) * b

Remove parenthesis around (9a)
9a2b = 9a * b

Multiply a * b
9a2b = 9ab

Solving
9a2b = 9ab

Solving for variable 'a'.

Reorder the terms:
-9ab + 9a2b = 9ab + -9ab

Combine like terms: 9ab + -9ab = 0
-9ab + 9a2b = 0

Factor out the Greatest Common Factor (GCF), '9ab'.
9ab(-1 + a) = 0

Ignore the factor 9.
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 + 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 = {1}