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Simplifying 4h2 + 28h + 49 = 0 Reorder the terms: 49 + 28h + 4h2 = 0 Solving 49 + 28h + 4h2 = 0 Solving for variable 'h'. Factor a trinomial. (7 + 2h)(7 + 2h) = 0Subproblem 1
Set the factor '(7 + 2h)' equal to zero and attempt to solve: Simplifying 7 + 2h = 0 Solving 7 + 2h = 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 + 2h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2h = 0 + -7 2h = 0 + -7 Combine like terms: 0 + -7 = -7 2h = -7 Divide each side by '2'. h = -3.5 Simplifying h = -3.5Subproblem 2
Set the factor '(7 + 2h)' equal to zero and attempt to solve: Simplifying 7 + 2h = 0 Solving 7 + 2h = 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 + 2h = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2h = 0 + -7 2h = 0 + -7 Combine like terms: 0 + -7 = -7 2h = -7 Divide each side by '2'. h = -3.5 Simplifying h = -3.5Solution
h = {-3.5, -3.5}
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