(2a*2b)(4ab*2)=8a*3b*3

Solution for (2a*2b)(4ab*2)=8a*3b*3 equation:

Simplifying
(2a * 2b)(4ab * 2) = 8a * 3b * 3

Reorder the terms for easier multiplication:
(2 * 2a * b)(4ab * 2) = 8a * 3b * 3

Multiply 2 * 2
(4a * b)(4ab * 2) = 8a * 3b * 3

Multiply a * b
(4ab)(4ab * 2) = 8a * 3b * 3

Remove parenthesis around (4ab)
4ab(4ab * 2) = 8a * 3b * 3

Reorder the terms for easier multiplication:
4ab(4 * 2ab) = 8a * 3b * 3

Multiply 4 * 2
4ab(8ab) = 8a * 3b * 3

Remove parenthesis around (8ab)
4ab * 8ab = 8a * 3b * 3

Reorder the terms for easier multiplication:
4 * 8ab * ab = 8a * 3b * 3

Multiply 4 * 8
32ab * ab = 8a * 3b * 3

Multiply ab * ab
32a2b2 = 8a * 3b * 3

Reorder the terms for easier multiplication:
32a2b2 = 8 * 3 * 3a * b

Multiply 8 * 3
32a2b2 = 24 * 3a * b

Multiply 24 * 3
32a2b2 = 72a * b

Multiply a * b
32a2b2 = 72ab

Solving
32a2b2 = 72ab

Solving for variable 'a'.

Reorder the terms:
-72ab + 32a2b2 = 72ab + -72ab

Combine like terms: 72ab + -72ab = 0
-72ab + 32a2b2 = 0

Factor out the Greatest Common Factor (GCF), '8ab'.
8ab(-9 + 4ab) = 0

Ignore the factor 8.
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 '(-9 + 4ab)' equal to zero and attempt to solve:

Simplifying
-9 + 4ab = 0

Solving
-9 + 4ab = 0

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

Add '9' to each side of the equation.
-9 + 9 + 4ab = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4ab = 0 + 9
4ab = 0 + 9

Combine like terms: 0 + 9 = 9
4ab = 9

Divide each side by '4b'.
a = 2.25b-1

Simplifying
a = 2.25b-1
Solution
a = {2.25b-1}