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Simplifying 10h2 + -47h + -15 = 0 Reorder the terms: -15 + -47h + 10h2 = 0 Solving -15 + -47h + 10h2 = 0 Solving for variable 'h'. Factor a trinomial. (-3 + -10h)(5 + -1h) = 0Subproblem 1
Set the factor '(-3 + -10h)' equal to zero and attempt to solve: Simplifying -3 + -10h = 0 Solving -3 + -10h = 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 + -10h = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -10h = 0 + 3 -10h = 0 + 3 Combine like terms: 0 + 3 = 3 -10h = 3 Divide each side by '-10'. h = -0.3 Simplifying h = -0.3Subproblem 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 = {-0.3, 5}
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