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Simplifying (h + 11)(h + 8) = 0 Reorder the terms: (11 + h)(h + 8) = 0 Reorder the terms: (11 + h)(8 + h) = 0 Multiply (11 + h) * (8 + h) (11(8 + h) + h(8 + h)) = 0 ((8 * 11 + h * 11) + h(8 + h)) = 0 ((88 + 11h) + h(8 + h)) = 0 (88 + 11h + (8 * h + h * h)) = 0 (88 + 11h + (8h + h2)) = 0 Combine like terms: 11h + 8h = 19h (88 + 19h + h2) = 0 Solving 88 + 19h + h2 = 0 Solving for variable 'h'. Factor a trinomial. (11 + h)(8 + h) = 0Subproblem 1
Set the factor '(11 + h)' equal to zero and attempt to solve: Simplifying 11 + h = 0 Solving 11 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + h = 0 + -11 Combine like terms: 11 + -11 = 0 0 + h = 0 + -11 h = 0 + -11 Combine like terms: 0 + -11 = -11 h = -11 Simplifying h = -11Subproblem 2
Set the factor '(8 + h)' equal to zero and attempt to solve: Simplifying 8 + h = 0 Solving 8 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + h = 0 + -8 Combine like terms: 8 + -8 = 0 0 + h = 0 + -8 h = 0 + -8 Combine like terms: 0 + -8 = -8 h = -8 Simplifying h = -8Solution
h = {-11, -8}
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