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Simplifying 9h2 + -9h + 2 = 0 Reorder the terms: 2 + -9h + 9h2 = 0 Solving 2 + -9h + 9h2 = 0 Solving for variable 'h'. Factor a trinomial. (1 + -3h)(2 + -3h) = 0Subproblem 1
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 = 0.3333333333Subproblem 2
Set the factor '(2 + -3h)' equal to zero and attempt to solve: Simplifying 2 + -3h = 0 Solving 2 + -3h = 0 Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3h = 0 + -2 -3h = 0 + -2 Combine like terms: 0 + -2 = -2 -3h = -2 Divide each side by '-3'. h = 0.6666666667 Simplifying h = 0.6666666667Solution
h = {0.3333333333, 0.6666666667}
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