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Simplifying 2k2 + 26k = -80 Reorder the terms: 26k + 2k2 = -80 Solving 26k + 2k2 = -80 Solving for variable 'k'. Reorder the terms: 80 + 26k + 2k2 = -80 + 80 Combine like terms: -80 + 80 = 0 80 + 26k + 2k2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(40 + 13k + k2) = 0 Factor a trinomial. 2((8 + k)(5 + k)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + k)' equal to zero and attempt to solve: Simplifying 8 + k = 0 Solving 8 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + k = 0 + -8 k = 0 + -8 Combine like terms: 0 + -8 = -8 k = -8 Simplifying k = -8Subproblem 2
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 = -5Solution
k = {-8, -5}
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