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Simplifying -2k2 + -12k + 110 = 0 Reorder the terms: 110 + -12k + -2k2 = 0 Solving 110 + -12k + -2k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2'. 2(55 + -6k + -1k2) = 0 Factor a trinomial. 2((5 + -1k)(11 + k)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -1k)' equal to zero and attempt to solve: Simplifying 5 + -1k = 0 Solving 5 + -1k = 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 + -1k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = 0 + -5 -1k = 0 + -5 Combine like terms: 0 + -5 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5Subproblem 2
Set the factor '(11 + k)' equal to zero and attempt to solve: Simplifying 11 + k = 0 Solving 11 + k = 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 + k = 0 + -11 Combine like terms: 11 + -11 = 0 0 + k = 0 + -11 k = 0 + -11 Combine like terms: 0 + -11 = -11 k = -11 Simplifying k = -11Solution
k = {5, -11}
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