156=2l+2w(l-12)

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Solution for 156=2l+2w(l-12) equation:


Simplifying
156 = 2l + 2w(l + -12)

Reorder the terms:
156 = 2l + 2w(-12 + l)
156 = 2l + (-12 * 2w + l * 2w)

Reorder the terms:
156 = 2l + (2lw + -24w)
156 = 2l + (2lw + -24w)

Solving
156 = 2l + 2lw + -24w

Solving for variable 'l'.

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

Add '-2l' to each side of the equation.
156 + -2l = 2l + 2lw + -2l + -24w

Reorder the terms:
156 + -2l = 2l + -2l + 2lw + -24w

Combine like terms: 2l + -2l = 0
156 + -2l = 0 + 2lw + -24w
156 + -2l = 2lw + -24w

Add '-2lw' to each side of the equation.
156 + -2l + -2lw = 2lw + -2lw + -24w

Combine like terms: 2lw + -2lw = 0
156 + -2l + -2lw = 0 + -24w
156 + -2l + -2lw = -24w

Add '-156' to each side of the equation.
156 + -2l + -156 + -2lw = -156 + -24w

Reorder the terms:
156 + -156 + -2l + -2lw = -156 + -24w

Combine like terms: 156 + -156 = 0
0 + -2l + -2lw = -156 + -24w
-2l + -2lw = -156 + -24w

Reorder the terms:
156 + -2l + -2lw + 24w = -156 + -24w + 156 + 24w

Reorder the terms:
156 + -2l + -2lw + 24w = -156 + 156 + -24w + 24w

Combine like terms: -156 + 156 = 0
156 + -2l + -2lw + 24w = 0 + -24w + 24w
156 + -2l + -2lw + 24w = -24w + 24w

Combine like terms: -24w + 24w = 0
156 + -2l + -2lw + 24w = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(78 + -1l + -1lw + 12w) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(78 + -1l + -1lw + 12w)' equal to zero and attempt to solve: Simplifying 78 + -1l + -1lw + 12w = 0 Solving 78 + -1l + -1lw + 12w = 0 Move all terms containing l to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -1l + -1lw + -78 + 12w = 0 + -78 Reorder the terms: 78 + -78 + -1l + -1lw + 12w = 0 + -78 Combine like terms: 78 + -78 = 0 0 + -1l + -1lw + 12w = 0 + -78 -1l + -1lw + 12w = 0 + -78 Combine like terms: 0 + -78 = -78 -1l + -1lw + 12w = -78 Add '-12w' to each side of the equation. -1l + -1lw + 12w + -12w = -78 + -12w Combine like terms: 12w + -12w = 0 -1l + -1lw + 0 = -78 + -12w -1l + -1lw = -78 + -12w 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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