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Simplifying h2 + 10h + -336 = 0 Reorder the terms: -336 + 10h + h2 = 0 Solving -336 + 10h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (-24 + -1h)(14 + -1h) = 0Subproblem 1
Set the factor '(-24 + -1h)' equal to zero and attempt to solve: Simplifying -24 + -1h = 0 Solving -24 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1h = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1h = 0 + 24 -1h = 0 + 24 Combine like terms: 0 + 24 = 24 -1h = 24 Divide each side by '-1'. h = -24 Simplifying h = -24Subproblem 2
Set the factor '(14 + -1h)' equal to zero and attempt to solve: Simplifying 14 + -1h = 0 Solving 14 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1h = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1h = 0 + -14 -1h = 0 + -14 Combine like terms: 0 + -14 = -14 -1h = -14 Divide each side by '-1'. h = 14 Simplifying h = 14Solution
h = {-24, 14}
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