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Simplifying h2 + -8 + 3h + -10 = 0 Reorder the terms: -8 + -10 + 3h + h2 = 0 Combine like terms: -8 + -10 = -18 -18 + 3h + h2 = 0 Solving -18 + 3h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (-6 + -1h)(3 + -1h) = 0Subproblem 1
Set the factor '(-6 + -1h)' equal to zero and attempt to solve: Simplifying -6 + -1h = 0 Solving -6 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1h = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1h = 0 + 6 -1h = 0 + 6 Combine like terms: 0 + 6 = 6 -1h = 6 Divide each side by '-1'. h = -6 Simplifying h = -6Subproblem 2
Set the factor '(3 + -1h)' equal to zero and attempt to solve: Simplifying 3 + -1h = 0 Solving 3 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1h = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1h = 0 + -3 -1h = 0 + -3 Combine like terms: 0 + -3 = -3 -1h = -3 Divide each side by '-1'. h = 3 Simplifying h = 3Solution
h = {-6, 3}
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