80=2(lw+hw+hl)

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Solution for 80=2(lw+hw+hl) equation:


Simplifying
80 = 2(lw + hw + hl)

Reorder the terms:
80 = 2(hl + hw + lw)
80 = (hl * 2 + hw * 2 + lw * 2)
80 = (2hl + 2hw + 2lw)

Solving
80 = 2hl + 2hw + 2lw

Solving for variable 'h'.

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

Add '-2hl' to each side of the equation.
80 + -2hl = 2hl + 2hw + -2hl + 2lw

Reorder the terms:
80 + -2hl = 2hl + -2hl + 2hw + 2lw

Combine like terms: 2hl + -2hl = 0
80 + -2hl = 0 + 2hw + 2lw
80 + -2hl = 2hw + 2lw

Add '-2hw' to each side of the equation.
80 + -2hl + -2hw = 2hw + -2hw + 2lw

Combine like terms: 2hw + -2hw = 0
80 + -2hl + -2hw = 0 + 2lw
80 + -2hl + -2hw = 2lw

Add '-80' to each side of the equation.
80 + -2hl + -80 + -2hw = -80 + 2lw

Reorder the terms:
80 + -80 + -2hl + -2hw = -80 + 2lw

Combine like terms: 80 + -80 = 0
0 + -2hl + -2hw = -80 + 2lw
-2hl + -2hw = -80 + 2lw

Reorder the terms:
80 + -2hl + -2hw + -2lw = -80 + 2lw + 80 + -2lw

Reorder the terms:
80 + -2hl + -2hw + -2lw = -80 + 80 + 2lw + -2lw

Combine like terms: -80 + 80 = 0
80 + -2hl + -2hw + -2lw = 0 + 2lw + -2lw
80 + -2hl + -2hw + -2lw = 2lw + -2lw

Combine like terms: 2lw + -2lw = 0
80 + -2hl + -2hw + -2lw = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(40 + -1hl + -1hw + -1lw) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(40 + -1hl + -1hw + -1lw)' equal to zero and attempt to solve: Simplifying 40 + -1hl + -1hw + -1lw = 0 Solving 40 + -1hl + -1hw + -1lw = 0 Move all terms containing h to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -1hl + -1hw + -40 + -1lw = 0 + -40 Reorder the terms: 40 + -40 + -1hl + -1hw + -1lw = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1hl + -1hw + -1lw = 0 + -40 -1hl + -1hw + -1lw = 0 + -40 Combine like terms: 0 + -40 = -40 -1hl + -1hw + -1lw = -40 Add 'lw' to each side of the equation. -1hl + -1hw + -1lw + lw = -40 + lw Combine like terms: -1lw + lw = 0 -1hl + -1hw + 0 = -40 + lw -1hl + -1hw = -40 + lw 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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