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Simplifying 3h2 + 22h + 7 = 0 Reorder the terms: 7 + 22h + 3h2 = 0 Solving 7 + 22h + 3h2 = 0 Solving for variable 'h'. Factor a trinomial. (7 + h)(1 + 3h) = 0Subproblem 1
Set the factor '(7 + h)' equal to zero and attempt to solve: Simplifying 7 + h = 0 Solving 7 + h = 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 + h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + h = 0 + -7 h = 0 + -7 Combine like terms: 0 + -7 = -7 h = -7 Simplifying h = -7Subproblem 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 = {-7, -0.3333333333}
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