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