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Simplifying 2k2 = -12k + -16 Reorder the terms: 2k2 = -16 + -12k Solving 2k2 = -16 + -12k Solving for variable 'k'. Reorder the terms: 16 + 12k + 2k2 = -16 + -12k + 16 + 12k Reorder the terms: 16 + 12k + 2k2 = -16 + 16 + -12k + 12k Combine like terms: -16 + 16 = 0 16 + 12k + 2k2 = 0 + -12k + 12k 16 + 12k + 2k2 = -12k + 12k Combine like terms: -12k + 12k = 0 16 + 12k + 2k2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 6k + k2) = 0 Factor a trinomial. 2((4 + k)(2 + k)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + k)' equal to zero and attempt to solve: Simplifying 4 + k = 0 Solving 4 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + k = 0 + -4 k = 0 + -4 Combine like terms: 0 + -4 = -4 k = -4 Simplifying k = -4Subproblem 2
Set the factor '(2 + k)' equal to zero and attempt to solve: Simplifying 2 + k = 0 Solving 2 + k = 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 + k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + k = 0 + -2 k = 0 + -2 Combine like terms: 0 + -2 = -2 k = -2 Simplifying k = -2Solution
k = {-4, -2}
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