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Simplifying 3k2 + -16k + 13 = 0 Reorder the terms: 13 + -16k + 3k2 = 0 Solving 13 + -16k + 3k2 = 0 Solving for variable 'k'. Factor a trinomial. (1 + -1k)(13 + -3k) = 0Subproblem 1
Set the factor '(1 + -1k)' equal to zero and attempt to solve: Simplifying 1 + -1k = 0 Solving 1 + -1k = 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 + -1k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 0 + -1 -1k = 0 + -1 Combine like terms: 0 + -1 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1Subproblem 2
Set the factor '(13 + -3k)' equal to zero and attempt to solve: Simplifying 13 + -3k = 0 Solving 13 + -3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3k = 0 + -13 -3k = 0 + -13 Combine like terms: 0 + -13 = -13 -3k = -13 Divide each side by '-3'. k = 4.333333333 Simplifying k = 4.333333333Solution
k = {1, 4.333333333}
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