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Simplifying 150 = 2lw + 2lh + 2wh Reorder the terms: 150 = 2hl + 2hw + 2lw Solving 150 = 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. 150 + -2hl = 2hl + 2hw + -2hl + 2lw Reorder the terms: 150 + -2hl = 2hl + -2hl + 2hw + 2lw Combine like terms: 2hl + -2hl = 0 150 + -2hl = 0 + 2hw + 2lw 150 + -2hl = 2hw + 2lw Add '-2hw' to each side of the equation. 150 + -2hl + -2hw = 2hw + -2hw + 2lw Combine like terms: 2hw + -2hw = 0 150 + -2hl + -2hw = 0 + 2lw 150 + -2hl + -2hw = 2lw Add '-150' to each side of the equation. 150 + -2hl + -150 + -2hw = -150 + 2lw Reorder the terms: 150 + -150 + -2hl + -2hw = -150 + 2lw Combine like terms: 150 + -150 = 0 0 + -2hl + -2hw = -150 + 2lw -2hl + -2hw = -150 + 2lw Reorder the terms: 150 + -2hl + -2hw + -2lw = -150 + 2lw + 150 + -2lw Reorder the terms: 150 + -2hl + -2hw + -2lw = -150 + 150 + 2lw + -2lw Combine like terms: -150 + 150 = 0 150 + -2hl + -2hw + -2lw = 0 + 2lw + -2lw 150 + -2hl + -2hw + -2lw = 2lw + -2lw Combine like terms: 2lw + -2lw = 0 150 + -2hl + -2hw + -2lw = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(75 + -1hl + -1hw + -1lw) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(75 + -1hl + -1hw + -1lw)' equal to zero and attempt to solve: Simplifying 75 + -1hl + -1hw + -1lw = 0 Solving 75 + -1hl + -1hw + -1lw = 0 Move all terms containing h to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -1hl + -1hw + -75 + -1lw = 0 + -75 Reorder the terms: 75 + -75 + -1hl + -1hw + -1lw = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -1hl + -1hw + -1lw = 0 + -75 -1hl + -1hw + -1lw = 0 + -75 Combine like terms: 0 + -75 = -75 -1hl + -1hw + -1lw = -75 Add 'lw' to each side of the equation. -1hl + -1hw + -1lw + lw = -75 + lw Combine like terms: -1lw + lw = 0 -1hl + -1hw + 0 = -75 + lw -1hl + -1hw = -75 + 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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