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Simplifying 9h2 + -72h + 119 = 0 Reorder the terms: 119 + -72h + 9h2 = 0 Solving 119 + -72h + 9h2 = 0 Solving for variable 'h'. Factor a trinomial. (7 + -3h)(17 + -3h) = 0Subproblem 1
Set the factor '(7 + -3h)' equal to zero and attempt to solve: Simplifying 7 + -3h = 0 Solving 7 + -3h = 0 Move all terms containing h to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3h = 0 + -7 -3h = 0 + -7 Combine like terms: 0 + -7 = -7 -3h = -7 Divide each side by '-3'. h = 2.333333333 Simplifying h = 2.333333333Subproblem 2
Set the factor '(17 + -3h)' equal to zero and attempt to solve: Simplifying 17 + -3h = 0 Solving 17 + -3h = 0 Move all terms containing h to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -3h = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -3h = 0 + -17 -3h = 0 + -17 Combine like terms: 0 + -17 = -17 -3h = -17 Divide each side by '-3'. h = 5.666666667 Simplifying h = 5.666666667Solution
h = {2.333333333, 5.666666667}
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