(2l+6)x(2w+6)=

Solution for (2l+6)x(2w+6)= equation:

Simplifying
(2l + 6) * x(2w + 6) = 0

Reorder the terms:
(6 + 2l) * x(2w + 6) = 0

Reorder the terms:
(6 + 2l) * x(6 + 2w) = 0

Reorder the terms for easier multiplication:
x(6 + 2l)(6 + 2w) = 0

Multiply (6 + 2l) * (6 + 2w)
x(6(6 + 2w) + 2l * (6 + 2w)) = 0
x((6 * 6 + 2w * 6) + 2l * (6 + 2w)) = 0
x((36 + 12w) + 2l * (6 + 2w)) = 0
x(36 + 12w + (6 * 2l + 2w * 2l)) = 0
x(36 + 12w + (12l + 4lw)) = 0

Reorder the terms:
x(36 + 12l + 4lw + 12w) = 0
x(36 + 12l + 4lw + 12w) = 0
(36 * x + 12l * x + 4lw * x + 12w * x) = 0

Reorder the terms:
(4lwx + 12lx + 12wx + 36x) = 0
(4lwx + 12lx + 12wx + 36x) = 0

Solving
4lwx + 12lx + 12wx + 36x = 0

Solving for variable 'l'.

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

Add '-12wx' to each side of the equation.
4lwx + 12lx + 12wx + -12wx + 36x = 0 + -12wx

Combine like terms: 12wx + -12wx = 0
4lwx + 12lx + 0 + 36x = 0 + -12wx
4lwx + 12lx + 36x = 0 + -12wx
Remove the zero:
4lwx + 12lx + 36x = -12wx

Add '-36x' to each side of the equation.
4lwx + 12lx + 36x + -36x = -12wx + -36x

Combine like terms: 36x + -36x = 0
4lwx + 12lx + 0 = -12wx + -36x
4lwx + 12lx = -12wx + -36x

Reorder the terms:
4lwx + 12lx + 12wx + 36x = -12wx + 12wx + -36x + 36x

Combine like terms: -12wx + 12wx = 0
4lwx + 12lx + 12wx + 36x = 0 + -36x + 36x
4lwx + 12lx + 12wx + 36x = -36x + 36x

Combine like terms: -36x + 36x = 0
4lwx + 12lx + 12wx + 36x = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(lw + 3l + 3w + 9) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

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 '(lw + 3l + 3w + 9)' equal to zero and attempt to solve:

Simplifying
lw + 3l + 3w + 9 = 0

Reorder the terms:
9 + 3l + lw + 3w = 0

Solving
9 + 3l + lw + 3w = 0

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

Add '-9' to each side of the equation.
9 + 3l + lw + -9 + 3w = 0 + -9

Reorder the terms:
9 + -9 + 3l + lw + 3w = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 3l + lw + 3w = 0 + -9
3l + lw + 3w = 0 + -9

Combine like terms: 0 + -9 = -9
3l + lw + 3w = -9

Add '-3w' to each side of the equation.
3l + lw + 3w + -3w = -9 + -3w

Combine like terms: 3w + -3w = 0
3l + lw + 0 = -9 + -3w
3l + lw = -9 + -3w

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.