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Simplifying 2h + 19 = 8th + -5 Reorder the terms: 19 + 2h = 8th + -5 Reorder the terms: 19 + 2h = -5 + 8ht Solving 19 + 2h = -5 + 8ht Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8ht' to each side of the equation. 19 + 2h + -8ht = -5 + 8ht + -8ht Combine like terms: 8ht + -8ht = 0 19 + 2h + -8ht = -5 + 0 19 + 2h + -8ht = -5 Add '-19' to each side of the equation. 19 + 2h + -19 + -8ht = -5 + -19 Reorder the terms: 19 + -19 + 2h + -8ht = -5 + -19 Combine like terms: 19 + -19 = 0 0 + 2h + -8ht = -5 + -19 2h + -8ht = -5 + -19 Combine like terms: -5 + -19 = -24 2h + -8ht = -24 Reorder the terms: 24 + 2h + -8ht = -24 + 24 Combine like terms: -24 + 24 = 0 24 + 2h + -8ht = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(12 + h + -4ht) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(12 + h + -4ht)' equal to zero and attempt to solve: Simplifying 12 + h + -4ht = 0 Solving 12 + h + -4ht = 0 Move all terms containing h to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + h + -12 + -4ht = 0 + -12 Reorder the terms: 12 + -12 + h + -4ht = 0 + -12 Combine like terms: 12 + -12 = 0 0 + h + -4ht = 0 + -12 h + -4ht = 0 + -12 Combine like terms: 0 + -12 = -12 h + -4ht = -12 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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