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Simplifying -9h2 + 9h + 4 = 0 Reorder the terms: 4 + 9h + -9h2 = 0 Solving 4 + 9h + -9h2 = 0 Solving for variable 'h'. Factor a trinomial. (4 + -3h)(1 + 3h) = 0Subproblem 1
Set the factor '(4 + -3h)' equal to zero and attempt to solve: Simplifying 4 + -3h = 0 Solving 4 + -3h = 0 Move all terms containing h to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3h = 0 + -4 -3h = 0 + -4 Combine like terms: 0 + -4 = -4 -3h = -4 Divide each side by '-3'. h = 1.333333333 Simplifying h = 1.333333333Subproblem 2
Set the factor '(1 + 3h)' equal to zero and attempt to solve: Simplifying 1 + 3h = 0 Solving 1 + 3h = 0 Move all terms containing h to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3h = 0 + -1 3h = 0 + -1 Combine like terms: 0 + -1 = -1 3h = -1 Divide each side by '3'. h = -0.3333333333 Simplifying h = -0.3333333333Solution
h = {1.333333333, -0.3333333333}
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