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Simplifying h2 = 6h + 16 Reorder the terms: h2 = 16 + 6h Solving h2 = 16 + 6h Solving for variable 'h'. Reorder the terms: -16 + -6h + h2 = 16 + 6h + -16 + -6h Reorder the terms: -16 + -6h + h2 = 16 + -16 + 6h + -6h Combine like terms: 16 + -16 = 0 -16 + -6h + h2 = 0 + 6h + -6h -16 + -6h + h2 = 6h + -6h Combine like terms: 6h + -6h = 0 -16 + -6h + h2 = 0 Factor a trinomial. (-2 + -1h)(8 + -1h) = 0Subproblem 1
Set the factor '(-2 + -1h)' equal to zero and attempt to solve: Simplifying -2 + -1h = 0 Solving -2 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1h = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1h = 0 + 2 -1h = 0 + 2 Combine like terms: 0 + 2 = 2 -1h = 2 Divide each side by '-1'. h = -2 Simplifying h = -2Subproblem 2
Set the factor '(8 + -1h)' equal to zero and attempt to solve: Simplifying 8 + -1h = 0 Solving 8 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1h = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1h = 0 + -8 -1h = 0 + -8 Combine like terms: 0 + -8 = -8 -1h = -8 Divide each side by '-1'. h = 8 Simplifying h = 8Solution
h = {-2, 8}
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