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Simplifying -1h2 = 6h + 5 Reorder the terms: -1h2 = 5 + 6h Solving -1h2 = 5 + 6h Solving for variable 'h'. Reorder the terms: -5 + -6h + -1h2 = 5 + 6h + -5 + -6h Reorder the terms: -5 + -6h + -1h2 = 5 + -5 + 6h + -6h Combine like terms: 5 + -5 = 0 -5 + -6h + -1h2 = 0 + 6h + -6h -5 + -6h + -1h2 = 6h + -6h Combine like terms: 6h + -6h = 0 -5 + -6h + -1h2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + 6h + h2) = 0 Factor a trinomial. -1((5 + h)(1 + h)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(5 + h)' equal to zero and attempt to solve: Simplifying 5 + h = 0 Solving 5 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + h = 0 + -5 h = 0 + -5 Combine like terms: 0 + -5 = -5 h = -5 Simplifying h = -5Subproblem 2
Set the factor '(1 + h)' equal to zero and attempt to solve: Simplifying 1 + h = 0 Solving 1 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + h = 0 + -1 h = 0 + -1 Combine like terms: 0 + -1 = -1 h = -1 Simplifying h = -1Solution
h = {-5, -1}
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