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Simplifying 4k2 = -96k Solving 4k2 = -96k Solving for variable 'k'. Reorder the terms: 96k + 4k2 = -96k + 96k Combine like terms: -96k + 96k = 0 96k + 4k2 = 0 Factor out the Greatest Common Factor (GCF), '4k'. 4k(24 + k) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0Subproblem 2
Set the factor '(24 + k)' equal to zero and attempt to solve: Simplifying 24 + k = 0 Solving 24 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + k = 0 + -24 Combine like terms: 24 + -24 = 0 0 + k = 0 + -24 k = 0 + -24 Combine like terms: 0 + -24 = -24 k = -24 Simplifying k = -24Solution
k = {0, -24}
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