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Simplifying k2 + 18k + -13 = 6 Reorder the terms: -13 + 18k + k2 = 6 Solving -13 + 18k + k2 = 6 Solving for variable 'k'. Reorder the terms: -13 + -6 + 18k + k2 = 6 + -6 Combine like terms: -13 + -6 = -19 -19 + 18k + k2 = 6 + -6 Combine like terms: 6 + -6 = 0 -19 + 18k + k2 = 0 Factor a trinomial. (-19 + -1k)(1 + -1k) = 0Subproblem 1
Set the factor '(-19 + -1k)' equal to zero and attempt to solve: Simplifying -19 + -1k = 0 Solving -19 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1k = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1k = 0 + 19 -1k = 0 + 19 Combine like terms: 0 + 19 = 19 -1k = 19 Divide each side by '-1'. k = -19 Simplifying k = -19Subproblem 2
Set the factor '(1 + -1k)' equal to zero and attempt to solve: Simplifying 1 + -1k = 0 Solving 1 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 0 + -1 -1k = 0 + -1 Combine like terms: 0 + -1 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1Solution
k = {-19, 1}
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