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Simplifying k2 + -4k + -49 = -4 Reorder the terms: -49 + -4k + k2 = -4 Solving -49 + -4k + k2 = -4 Solving for variable 'k'. Reorder the terms: -49 + 4 + -4k + k2 = -4 + 4 Combine like terms: -49 + 4 = -45 -45 + -4k + k2 = -4 + 4 Combine like terms: -4 + 4 = 0 -45 + -4k + k2 = 0 Factor a trinomial. (-5 + -1k)(9 + -1k) = 0Subproblem 1
Set the factor '(-5 + -1k)' equal to zero and attempt to solve: Simplifying -5 + -1k = 0 Solving -5 + -1k = 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 + -1k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1k = 0 + 5 -1k = 0 + 5 Combine like terms: 0 + 5 = 5 -1k = 5 Divide each side by '-1'. k = -5 Simplifying k = -5Subproblem 2
Set the factor '(9 + -1k)' equal to zero and attempt to solve: Simplifying 9 + -1k = 0 Solving 9 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1k = 0 + -9 -1k = 0 + -9 Combine like terms: 0 + -9 = -9 -1k = -9 Divide each side by '-1'. k = 9 Simplifying k = 9Solution
k = {-5, 9}
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