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Simplifying 2k2 + 64 = -24k Reorder the terms: 64 + 2k2 = -24k Solving 64 + 2k2 = -24k Solving for variable 'k'. Reorder the terms: 64 + 24k + 2k2 = -24k + 24k Combine like terms: -24k + 24k = 0 64 + 24k + 2k2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(32 + 12k + k2) = 0 Factor a trinomial. 2((8 + k)(4 + 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 '(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 = -4Solution
k = {-8, -4}
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