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Simplifying 18k2 + 48k = 0 Reorder the terms: 48k + 18k2 = 0 Solving 48k + 18k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '6k'. 6k(8 + 3k) = 0 Ignore the factor 6.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 '(8 + 3k)' equal to zero and attempt to solve: Simplifying 8 + 3k = 0 Solving 8 + 3k = 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 + 3k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3k = 0 + -8 3k = 0 + -8 Combine like terms: 0 + -8 = -8 3k = -8 Divide each side by '3'. k = -2.666666667 Simplifying k = -2.666666667Solution
k = {0, -2.666666667}
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