36=2L(2w+3)+2

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Solution for 36=2L(2w+3)+2 equation: 


Simplifying
36 = 2L(2w + 3) + 2

Reorder the terms:
36 = 2L(3 + 2w) + 2
36 = (3 * 2L + 2w * 2L) + 2
36 = (6L + 4wL) + 2

Reorder the terms:
36 = 2 + 6L + 4wL

Solving
36 = 2 + 6L + 4wL

Solving for variable 'L'.

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

Add '-6L' to each side of the equation.
36 + -6L = 2 + 6L + -6L + 4wL

Combine like terms: 6L + -6L = 0
36 + -6L = 2 + 0 + 4wL
36 + -6L = 2 + 4wL

Add '-4wL' to each side of the equation.
36 + -6L + -4wL = 2 + 4wL + -4wL

Combine like terms: 4wL + -4wL = 0
36 + -6L + -4wL = 2 + 0
36 + -6L + -4wL = 2

Add '-36' to each side of the equation.
36 + -6L + -36 + -4wL = 2 + -36

Reorder the terms:
36 + -36 + -6L + -4wL = 2 + -36

Combine like terms: 36 + -36 = 0
0 + -6L + -4wL = 2 + -36
-6L + -4wL = 2 + -36

Combine like terms: 2 + -36 = -34
-6L + -4wL = -34

Reorder the terms:
34 + -6L + -4wL = -34 + 34

Combine like terms: -34 + 34 = 0
34 + -6L + -4wL = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(17 + -3L + -2wL) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(17 + -3L + -2wL)' equal to zero and attempt to solve:

Simplifying
17 + -3L + -2wL = 0

Solving
17 + -3L + -2wL = 0

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

Add '-17' to each side of the equation.
17 + -3L + -17 + -2wL = 0 + -17

Reorder the terms:
17 + -17 + -3L + -2wL = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -3L + -2wL = 0 + -17
-3L + -2wL = 0 + -17

Combine like terms: 0 + -17 = -17
-3L + -2wL = -17

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.

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