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Simplifying 4k2 + -60k2 + 224k = 0 Reorder the terms: 224k + 4k2 + -60k2 = 0 Combine like terms: 4k2 + -60k2 = -56k2 224k + -56k2 = 0 Solving 224k + -56k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '56k'. 56k(4 + -1k) = 0 Ignore the factor 56.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 '(4 + -1k)' equal to zero and attempt to solve: Simplifying 4 + -1k = 0 Solving 4 + -1k = 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 + -1k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = 0 + -4 -1k = 0 + -4 Combine like terms: 0 + -4 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4Solution
k = {0, 4}
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