(3x*2y*4)(3xy)=9x*3y*5

Solution for (3x*2y*4)(3xy)=9x*3y*5 equation:

Simplifying
(3x * 2y * 4)(3xy) = 9x * 3y * 5

Reorder the terms for easier multiplication:
(3 * 2 * 4x * y)(3xy) = 9x * 3y * 5

Multiply 3 * 2
(6 * 4x * y)(3xy) = 9x * 3y * 5

Multiply 6 * 4
(24x * y)(3xy) = 9x * 3y * 5

Multiply x * y
(24xy)(3xy) = 9x * 3y * 5

Remove parenthesis around (24xy)
24xy(3xy) = 9x * 3y * 5

Remove parenthesis around (3xy)
24xy * 3xy = 9x * 3y * 5

Reorder the terms for easier multiplication:
24 * 3xy * xy = 9x * 3y * 5

Multiply 24 * 3
72xy * xy = 9x * 3y * 5

Multiply xy * xy
72x2y2 = 9x * 3y * 5

Reorder the terms for easier multiplication:
72x2y2 = 9 * 3 * 5x * y

Multiply 9 * 3
72x2y2 = 27 * 5x * y

Multiply 27 * 5
72x2y2 = 135x * y

Multiply x * y
72x2y2 = 135xy

Solving
72x2y2 = 135xy

Solving for variable 'x'.

Reorder the terms:
-135xy + 72x2y2 = 135xy + -135xy

Combine like terms: 135xy + -135xy = 0
-135xy + 72x2y2 = 0

Factor out the Greatest Common Factor (GCF), '9xy'.
9xy(-15 + 8xy) = 0

Ignore the factor 9.
Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 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 '(-15 + 8xy)' equal to zero and attempt to solve:

Simplifying
-15 + 8xy = 0

Solving
-15 + 8xy = 0

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

Add '15' to each side of the equation.
-15 + 15 + 8xy = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 8xy = 0 + 15
8xy = 0 + 15

Combine like terms: 0 + 15 = 15
8xy = 15

Divide each side by '8y'.
x = 1.875y-1

Simplifying
x = 1.875y-1
Solution
x = {1.875y-1}