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Simplifying h2 + 12h + 36 = 0 Reorder the terms: 36 + 12h + h2 = 0 Solving 36 + 12h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (6 + h)(6 + h) = 0Subproblem 1
Set the factor '(6 + h)' equal to zero and attempt to solve: Simplifying 6 + h = 0 Solving 6 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + h = 0 + -6 Combine like terms: 6 + -6 = 0 0 + h = 0 + -6 h = 0 + -6 Combine like terms: 0 + -6 = -6 h = -6 Simplifying h = -6Subproblem 2
Set the factor '(6 + h)' equal to zero and attempt to solve: Simplifying 6 + h = 0 Solving 6 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + h = 0 + -6 Combine like terms: 6 + -6 = 0 0 + h = 0 + -6 h = 0 + -6 Combine like terms: 0 + -6 = -6 h = -6 Simplifying h = -6Solution
h = {-6, -6}
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