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Simplifying k2 + 12k + 44 = 9 Reorder the terms: 44 + 12k + k2 = 9 Solving 44 + 12k + k2 = 9 Solving for variable 'k'. Reorder the terms: 44 + -9 + 12k + k2 = 9 + -9 Combine like terms: 44 + -9 = 35 35 + 12k + k2 = 9 + -9 Combine like terms: 9 + -9 = 0 35 + 12k + k2 = 0 Factor a trinomial. (7 + k)(5 + k) = 0Subproblem 1
Set the factor '(7 + k)' equal to zero and attempt to solve: Simplifying 7 + k = 0 Solving 7 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + k = 0 + -7 k = 0 + -7 Combine like terms: 0 + -7 = -7 k = -7 Simplifying k = -7Subproblem 2
Set the factor '(5 + k)' equal to zero and attempt to solve: Simplifying 5 + k = 0 Solving 5 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + k = 0 + -5 k = 0 + -5 Combine like terms: 0 + -5 = -5 k = -5 Simplifying k = -5Solution
k = {-7, -5}
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