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Simplifying k2 + 13k + -30 = 0 Reorder the terms: -30 + 13k + k2 = 0 Solving -30 + 13k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (-15 + -1k)(2 + -1k) = 0Subproblem 1
Set the factor '(-15 + -1k)' equal to zero and attempt to solve: Simplifying -15 + -1k = 0 Solving -15 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1k = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1k = 0 + 15 -1k = 0 + 15 Combine like terms: 0 + 15 = 15 -1k = 15 Divide each side by '-1'. k = -15 Simplifying k = -15Subproblem 2
Set the factor '(2 + -1k)' equal to zero and attempt to solve: Simplifying 2 + -1k = 0 Solving 2 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1k = 0 + -2 -1k = 0 + -2 Combine like terms: 0 + -2 = -2 -1k = -2 Divide each side by '-1'. k = 2 Simplifying k = 2Solution
k = {-15, 2}
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