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Simplifying k2 = -9k + -20 Reorder the terms: k2 = -20 + -9k Solving k2 = -20 + -9k Solving for variable 'k'. Reorder the terms: 20 + 9k + k2 = -20 + -9k + 20 + 9k Reorder the terms: 20 + 9k + k2 = -20 + 20 + -9k + 9k Combine like terms: -20 + 20 = 0 20 + 9k + k2 = 0 + -9k + 9k 20 + 9k + k2 = -9k + 9k Combine like terms: -9k + 9k = 0 20 + 9k + k2 = 0 Factor a trinomial. (5 + k)(4 + k) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(4 + k)' equal to zero and attempt to solve: Simplifying 4 + k = 0 Solving 4 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + k = 0 + -4 k = 0 + -4 Combine like terms: 0 + -4 = -4 k = -4 Simplifying k = -4Solution
k = {-5, -4}
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