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Simplifying h2 + 6h + -8 = 47 Reorder the terms: -8 + 6h + h2 = 47 Solving -8 + 6h + h2 = 47 Solving for variable 'h'. Reorder the terms: -8 + -47 + 6h + h2 = 47 + -47 Combine like terms: -8 + -47 = -55 -55 + 6h + h2 = 47 + -47 Combine like terms: 47 + -47 = 0 -55 + 6h + h2 = 0 Factor a trinomial. (-11 + -1h)(5 + -1h) = 0Subproblem 1
Set the factor '(-11 + -1h)' equal to zero and attempt to solve: Simplifying -11 + -1h = 0 Solving -11 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1h = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1h = 0 + 11 -1h = 0 + 11 Combine like terms: 0 + 11 = 11 -1h = 11 Divide each side by '-1'. h = -11 Simplifying h = -11Subproblem 2
Set the factor '(5 + -1h)' equal to zero and attempt to solve: Simplifying 5 + -1h = 0 Solving 5 + -1h = 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 + -1h = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1h = 0 + -5 -1h = 0 + -5 Combine like terms: 0 + -5 = -5 -1h = -5 Divide each side by '-1'. h = 5 Simplifying h = 5Solution
h = {-11, 5}
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