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Simplifying 110 = 2lh + 2lw + 2hw Reorder the terms: 110 = 2hl + 2hw + 2lw Solving 110 = 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. 110 + -2hl = 2hl + 2hw + -2hl + 2lw Reorder the terms: 110 + -2hl = 2hl + -2hl + 2hw + 2lw Combine like terms: 2hl + -2hl = 0 110 + -2hl = 0 + 2hw + 2lw 110 + -2hl = 2hw + 2lw Add '-2hw' to each side of the equation. 110 + -2hl + -2hw = 2hw + -2hw + 2lw Combine like terms: 2hw + -2hw = 0 110 + -2hl + -2hw = 0 + 2lw 110 + -2hl + -2hw = 2lw Add '-110' to each side of the equation. 110 + -2hl + -110 + -2hw = -110 + 2lw Reorder the terms: 110 + -110 + -2hl + -2hw = -110 + 2lw Combine like terms: 110 + -110 = 0 0 + -2hl + -2hw = -110 + 2lw -2hl + -2hw = -110 + 2lw Reorder the terms: 110 + -2hl + -2hw + -2lw = -110 + 2lw + 110 + -2lw Reorder the terms: 110 + -2hl + -2hw + -2lw = -110 + 110 + 2lw + -2lw Combine like terms: -110 + 110 = 0 110 + -2hl + -2hw + -2lw = 0 + 2lw + -2lw 110 + -2hl + -2hw + -2lw = 2lw + -2lw Combine like terms: 2lw + -2lw = 0 110 + -2hl + -2hw + -2lw = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(55 + -1hl + -1hw + -1lw) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(55 + -1hl + -1hw + -1lw)' equal to zero and attempt to solve: Simplifying 55 + -1hl + -1hw + -1lw = 0 Solving 55 + -1hl + -1hw + -1lw = 0 Move all terms containing h to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -1hl + -1hw + -55 + -1lw = 0 + -55 Reorder the terms: 55 + -55 + -1hl + -1hw + -1lw = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -1hl + -1hw + -1lw = 0 + -55 -1hl + -1hw + -1lw = 0 + -55 Combine like terms: 0 + -55 = -55 -1hl + -1hw + -1lw = -55 Add 'lw' to each side of the equation. -1hl + -1hw + -1lw + lw = -55 + lw Combine like terms: -1lw + lw = 0 -1hl + -1hw + 0 = -55 + lw -1hl + -1hw = -55 + 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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