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Simplifying 360 = 2(lw + lh + wh) Reorder the terms: 360 = 2(hl + hw + lw) 360 = (hl * 2 + hw * 2 + lw * 2) 360 = (2hl + 2hw + 2lw) Solving 360 = 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. 360 + -2hl = 2hl + 2hw + -2hl + 2lw Reorder the terms: 360 + -2hl = 2hl + -2hl + 2hw + 2lw Combine like terms: 2hl + -2hl = 0 360 + -2hl = 0 + 2hw + 2lw 360 + -2hl = 2hw + 2lw Add '-2hw' to each side of the equation. 360 + -2hl + -2hw = 2hw + -2hw + 2lw Combine like terms: 2hw + -2hw = 0 360 + -2hl + -2hw = 0 + 2lw 360 + -2hl + -2hw = 2lw Add '-360' to each side of the equation. 360 + -2hl + -360 + -2hw = -360 + 2lw Reorder the terms: 360 + -360 + -2hl + -2hw = -360 + 2lw Combine like terms: 360 + -360 = 0 0 + -2hl + -2hw = -360 + 2lw -2hl + -2hw = -360 + 2lw Reorder the terms: 360 + -2hl + -2hw + -2lw = -360 + 2lw + 360 + -2lw Reorder the terms: 360 + -2hl + -2hw + -2lw = -360 + 360 + 2lw + -2lw Combine like terms: -360 + 360 = 0 360 + -2hl + -2hw + -2lw = 0 + 2lw + -2lw 360 + -2hl + -2hw + -2lw = 2lw + -2lw Combine like terms: 2lw + -2lw = 0 360 + -2hl + -2hw + -2lw = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(180 + -1hl + -1hw + -1lw) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(180 + -1hl + -1hw + -1lw)' equal to zero and attempt to solve: Simplifying 180 + -1hl + -1hw + -1lw = 0 Solving 180 + -1hl + -1hw + -1lw = 0 Move all terms containing h to the left, all other terms to the right. Add '-180' to each side of the equation. 180 + -1hl + -1hw + -180 + -1lw = 0 + -180 Reorder the terms: 180 + -180 + -1hl + -1hw + -1lw = 0 + -180 Combine like terms: 180 + -180 = 0 0 + -1hl + -1hw + -1lw = 0 + -180 -1hl + -1hw + -1lw = 0 + -180 Combine like terms: 0 + -180 = -180 -1hl + -1hw + -1lw = -180 Add 'lw' to each side of the equation. -1hl + -1hw + -1lw + lw = -180 + lw Combine like terms: -1lw + lw = 0 -1hl + -1hw + 0 = -180 + lw -1hl + -1hw = -180 + 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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