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Simplifying -2k2 + 12k + -10 = 0 Reorder the terms: -10 + 12k + -2k2 = 0 Solving -10 + 12k + -2k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + 6k + -1k2) = 0 Factor a trinomial. 2((-5 + k)(1 + -1k)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + k)' equal to zero and attempt to solve: Simplifying -5 + k = 0 Solving -5 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + k = 0 + 5 k = 0 + 5 Combine like terms: 0 + 5 = 5 k = 5 Simplifying k = 5Subproblem 2
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 = 1Solution
k = {5, 1}
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