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Simplifying 4h2 + 49 = 28h Reorder the terms: 49 + 4h2 = 28h Solving 49 + 4h2 = 28h Solving for variable 'h'. Reorder the terms: 49 + -28h + 4h2 = 28h + -28h Combine like terms: 28h + -28h = 0 49 + -28h + 4h2 = 0 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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