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Simplifying 2k2 + -26k = -84 Reorder the terms: -26k + 2k2 = -84 Solving -26k + 2k2 = -84 Solving for variable 'k'. Reorder the terms: 84 + -26k + 2k2 = -84 + 84 Combine like terms: -84 + 84 = 0 84 + -26k + 2k2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(42 + -13k + k2) = 0 Factor a trinomial. 2((6 + -1k)(7 + -1k)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + -1k)' equal to zero and attempt to solve: Simplifying 6 + -1k = 0 Solving 6 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1k = 0 + -6 -1k = 0 + -6 Combine like terms: 0 + -6 = -6 -1k = -6 Divide each side by '-1'. k = 6 Simplifying k = 6Subproblem 2
Set the factor '(7 + -1k)' equal to zero and attempt to solve: Simplifying 7 + -1k = 0 Solving 7 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1k = 0 + -7 -1k = 0 + -7 Combine like terms: 0 + -7 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7Solution
k = {6, 7}
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