(5x)(2y)-(3xy)(6xy)=

Solution for (5x)(2y)-(3xy)(6xy)= equation:

Simplifying
(5x)(2y) + -1(3xy)(6xy) = 0

Remove parenthesis around (5x)
5x(2y) + -1(3xy)(6xy) = 0

Remove parenthesis around (2y)
5x * 2y + -1(3xy)(6xy) = 0

Reorder the terms for easier multiplication:
5 * 2x * y + -1(3xy)(6xy) = 0

Multiply 5 * 2
10x * y + -1(3xy)(6xy) = 0

Multiply x * y
10xy + -1(3xy)(6xy) = 0

Remove parenthesis around (3xy)
10xy + -1 * 3xy(6xy) = 0

Remove parenthesis around (6xy)
10xy + -1 * 3xy * 6xy = 0

Reorder the terms for easier multiplication:
10xy + -1 * 3 * 6xy * xy = 0

Multiply -1 * 3
10xy + -3 * 6xy * xy = 0

Multiply -3 * 6
10xy + -18xy * xy = 0

Multiply xy * xy
10xy + -18x2y2 = 0

Solving
10xy + -18x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2xy'.
2xy(5 + -9xy) = 0

Ignore the factor 2.
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 '(5 + -9xy)' equal to zero and attempt to solve:

Simplifying
5 + -9xy = 0

Solving
5 + -9xy = 0

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

Add '-5' to each side of the equation.
5 + -5 + -9xy = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -9xy = 0 + -5
-9xy = 0 + -5

Combine like terms: 0 + -5 = -5
-9xy = -5

Divide each side by '-9y'.
x = 0.5555555556y-1

Simplifying
x = 0.5555555556y-1
Solution
x = {0.5555555556y-1}