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Simplifying -7h2 + 3h + 4 = 0 Reorder the terms: 4 + 3h + -7h2 = 0 Solving 4 + 3h + -7h2 = 0 Solving for variable 'h'. Factor a trinomial. (1 + -1h)(4 + 7h) = 0Subproblem 1
Set the factor '(1 + -1h)' equal to zero and attempt to solve: Simplifying 1 + -1h = 0 Solving 1 + -1h = 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 + -1h = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1h = 0 + -1 -1h = 0 + -1 Combine like terms: 0 + -1 = -1 -1h = -1 Divide each side by '-1'. h = 1 Simplifying h = 1Subproblem 2
Set the factor '(4 + 7h)' equal to zero and attempt to solve: Simplifying 4 + 7h = 0 Solving 4 + 7h = 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 + 7h = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7h = 0 + -4 7h = 0 + -4 Combine like terms: 0 + -4 = -4 7h = -4 Divide each side by '7'. h = -0.5714285714 Simplifying h = -0.5714285714Solution
h = {1, -0.5714285714}
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