12xy(x+y)=

Solution for 12xy(x+y)= equation:

Simplifying
12xy(x + y) = 0
(x * 12xy + y * 12xy) = 0

Reorder the terms:
(12xy2 + 12x2y) = 0
(12xy2 + 12x2y) = 0

Solving
12xy2 + 12x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12xy'.
12xy(y + x) = 0

Ignore the factor 12.
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 '(y + x)' equal to zero and attempt to solve:

Simplifying
y + x = 0

Reorder the terms:
x + y = 0

Solving
x + y = 0

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

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

Combine like terms: y + -1y = 0
x + 0 = 0 + -1y
x = 0 + -1y
Remove the zero:
x = -1y

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