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Simplifying 3k2 + -2k + -85 = 0 Reorder the terms: -85 + -2k + 3k2 = 0 Solving -85 + -2k + 3k2 = 0 Solving for variable 'k'. Factor a trinomial. (-5 + -1k)(17 + -3k) = 0Subproblem 1
Set the factor '(-5 + -1k)' equal to zero and attempt to solve: Simplifying -5 + -1k = 0 Solving -5 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1k = 0 + 5 -1k = 0 + 5 Combine like terms: 0 + 5 = 5 -1k = 5 Divide each side by '-1'. k = -5 Simplifying k = -5Subproblem 2
Set the factor '(17 + -3k)' equal to zero and attempt to solve: Simplifying 17 + -3k = 0 Solving 17 + -3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -3k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -3k = 0 + -17 -3k = 0 + -17 Combine like terms: 0 + -17 = -17 -3k = -17 Divide each side by '-3'. k = 5.666666667 Simplifying k = 5.666666667Solution
k = {-5, 5.666666667}
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