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Simplifying 2k2 + -2k + -15 = -3 Reorder the terms: -15 + -2k + 2k2 = -3 Solving -15 + -2k + 2k2 = -3 Solving for variable 'k'. Reorder the terms: -15 + 3 + -2k + 2k2 = -3 + 3 Combine like terms: -15 + 3 = -12 -12 + -2k + 2k2 = -3 + 3 Combine like terms: -3 + 3 = 0 -12 + -2k + 2k2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -1k + k2) = 0 Factor a trinomial. 2((-2 + -1k)(3 + -1k)) = 0 Ignore the factor 2.Subproblem 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 '(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, 3}
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