xy+2x(9-2y)=

Solution for xy+2x(9-2y)= equation:

Simplifying
xy + 2x(9 + -2y) = 0
xy + (9 * 2x + -2y * 2x) = 0
xy + (18x + -4xy) = 0

Reorder the terms:
18x + xy + -4xy = 0

Combine like terms: xy + -4xy = -3xy
18x + -3xy = 0

Solving
18x + -3xy = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '3x'.
3x(6 + -1y) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(6 + -1y)' equal to zero and attempt to solve:

Simplifying
6 + -1y = 0

Solving
6 + -1y = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 0 + -6
-1y = 0 + -6

Combine like terms: 0 + -6 = -6
-1y = -6

Add 'y' to each side of the equation.
-1y + y = -6 + y

Combine like terms: -1y + y = 0
0 = -6 + y

Simplifying
0 = -6 + y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}