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Simplifying 6k2 + -4k = 16 Reorder the terms: -4k + 6k2 = 16 Solving -4k + 6k2 = 16 Solving for variable 'k'. Reorder the terms: -16 + -4k + 6k2 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + -4k + 6k2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + -2k + 3k2) = 0 Factor a trinomial. 2((-4 + -3k)(2 + -1k)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -3k)' equal to zero and attempt to solve: Simplifying -4 + -3k = 0 Solving -4 + -3k = 0 Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3k = 0 + 4 -3k = 0 + 4 Combine like terms: 0 + 4 = 4 -3k = 4 Divide each side by '-3'. k = -1.333333333 Simplifying k = -1.333333333Subproblem 2
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 = 2Solution
k = {-1.333333333, 2}
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