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Simplifying 3k2 + -16k + 5 = 0 Reorder the terms: 5 + -16k + 3k2 = 0 Solving 5 + -16k + 3k2 = 0 Solving for variable 'k'. Factor a trinomial. (1 + -3k)(5 + -1k) = 0Subproblem 1
Set the factor '(1 + -3k)' equal to zero and attempt to solve: Simplifying 1 + -3k = 0 Solving 1 + -3k = 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 + -3k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3k = 0 + -1 -3k = 0 + -1 Combine like terms: 0 + -1 = -1 -3k = -1 Divide each side by '-3'. k = 0.3333333333 Simplifying k = 0.3333333333Subproblem 2
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 = 5Solution
k = {0.3333333333, 5}
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