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Simplifying 3k2 + 11k + -36 = 6 Reorder the terms: -36 + 11k + 3k2 = 6 Solving -36 + 11k + 3k2 = 6 Solving for variable 'k'. Reorder the terms: -36 + -6 + 11k + 3k2 = 6 + -6 Combine like terms: -36 + -6 = -42 -42 + 11k + 3k2 = 6 + -6 Combine like terms: 6 + -6 = 0 -42 + 11k + 3k2 = 0 Factor a trinomial. (-6 + -1k)(7 + -3k) = 0Subproblem 1
Set the factor '(-6 + -1k)' equal to zero and attempt to solve: Simplifying -6 + -1k = 0 Solving -6 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1k = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1k = 0 + 6 -1k = 0 + 6 Combine like terms: 0 + 6 = 6 -1k = 6 Divide each side by '-1'. k = -6 Simplifying k = -6Subproblem 2
Set the factor '(7 + -3k)' equal to zero and attempt to solve: Simplifying 7 + -3k = 0 Solving 7 + -3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3k = 0 + -7 -3k = 0 + -7 Combine like terms: 0 + -7 = -7 -3k = -7 Divide each side by '-3'. k = 2.333333333 Simplifying k = 2.333333333Solution
k = {-6, 2.333333333}
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