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Simplifying k2 + 12k + -13 = 0 Reorder the terms: -13 + 12k + k2 = 0 Solving -13 + 12k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (-13 + -1k)(1 + -1k) = 0Subproblem 1
Set the factor '(-13 + -1k)' equal to zero and attempt to solve: Simplifying -13 + -1k = 0 Solving -13 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1k = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1k = 0 + 13 -1k = 0 + 13 Combine like terms: 0 + 13 = 13 -1k = 13 Divide each side by '-1'. k = -13 Simplifying k = -13Subproblem 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 = {-13, 1}
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