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Simplifying 42h2 + 17h + 1 = 0 Reorder the terms: 1 + 17h + 42h2 = 0 Solving 1 + 17h + 42h2 = 0 Solving for variable 'h'. Factor a trinomial. (1 + 3h)(1 + 14h) = 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 '(1 + 14h)' equal to zero and attempt to solve: Simplifying 1 + 14h = 0 Solving 1 + 14h = 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 + 14h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 14h = 0 + -1 14h = 0 + -1 Combine like terms: 0 + -1 = -1 14h = -1 Divide each side by '14'. h = -0.07142857143 Simplifying h = -0.07142857143Solution
h = {-0.3333333333, -0.07142857143}
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