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Simplifying k2 + 16k + -36 = 0 Reorder the terms: -36 + 16k + k2 = 0 Solving -36 + 16k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (-18 + -1k)(2 + -1k) = 0Subproblem 1
Set the factor '(-18 + -1k)' equal to zero and attempt to solve: Simplifying -18 + -1k = 0 Solving -18 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1k = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1k = 0 + 18 -1k = 0 + 18 Combine like terms: 0 + 18 = 18 -1k = 18 Divide each side by '-1'. k = -18 Simplifying k = -18Subproblem 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 = {-18, 2}
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