3yx(xy+3)=

Solution for 3yx(xy+3)= equation:

Simplifying
3yx(xy + 3) = 0

Reorder the terms:
3xy(3 + xy) = 0
(3 * 3xy + xy * 3xy) = 0
(9xy + 3x2y2) = 0

Solving
9xy + 3x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3xy'.
3xy(3 + xy) = 0

Ignore the factor 3.
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 '(3 + xy)' equal to zero and attempt to solve:

Simplifying
3 + xy = 0

Solving
3 + xy = 0

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

Add '-3' to each side of the equation.
3 + -3 + xy = 0 + -3

Combine like terms: 3 + -3 = 0
0 + xy = 0 + -3
xy = 0 + -3

Combine like terms: 0 + -3 = -3
xy = -3

Divide each side by 'y'.
x = -3y-1

Simplifying
x = -3y-1
Solution
x = {-3y-1}