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Simplifying 10k2 + -8k + -66 = 0 Reorder the terms: -66 + -8k + 10k2 = 0 Solving -66 + -8k + 10k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2'. 2(-33 + -4k + 5k2) = 0 Factor a trinomial. 2((-11 + -5k)(3 + -1k)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-11 + -5k)' equal to zero and attempt to solve: Simplifying -11 + -5k = 0 Solving -11 + -5k = 0 Move all terms containing k to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -5k = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -5k = 0 + 11 -5k = 0 + 11 Combine like terms: 0 + 11 = 11 -5k = 11 Divide each side by '-5'. k = -2.2 Simplifying k = -2.2Subproblem 2
Set the factor '(3 + -1k)' equal to zero and attempt to solve: Simplifying 3 + -1k = 0 Solving 3 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1k = 0 + -3 -1k = 0 + -3 Combine like terms: 0 + -3 = -3 -1k = -3 Divide each side by '-1'. k = 3 Simplifying k = 3Solution
k = {-2.2, 3}
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