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Simplifying H2 + -34H + 289 = 0 Reorder the terms: 289 + -34H + H2 = 0 Solving 289 + -34H + H2 = 0 Solving for variable 'H'. Factor a trinomial. (17 + -1H)(17 + -1H) = 0Subproblem 1
Set the factor '(17 + -1H)' equal to zero and attempt to solve: Simplifying 17 + -1H = 0 Solving 17 + -1H = 0 Move all terms containing H to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1H = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1H = 0 + -17 -1H = 0 + -17 Combine like terms: 0 + -17 = -17 -1H = -17 Divide each side by '-1'. H = 17 Simplifying H = 17Subproblem 2
Set the factor '(17 + -1H)' equal to zero and attempt to solve: Simplifying 17 + -1H = 0 Solving 17 + -1H = 0 Move all terms containing H to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1H = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1H = 0 + -17 -1H = 0 + -17 Combine like terms: 0 + -17 = -17 -1H = -17 Divide each side by '-1'. H = 17 Simplifying H = 17Solution
H = {17, 17}
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