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Simplifying 3k2 + -13k + 14 = 0 Reorder the terms: 14 + -13k + 3k2 = 0 Solving 14 + -13k + 3k2 = 0 Solving for variable 'k'. Factor a trinomial. (2 + -1k)(7 + -3k) = 0Subproblem 1
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 = 2Subproblem 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 = {2, 2.333333333}
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