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Simplifying 3k5 = 48k3 Solving 3k5 = 48k3 Solving for variable 'k'. Reorder the terms: -48k3 + 3k5 = 48k3 + -48k3 Combine like terms: 48k3 + -48k3 = 0 -48k3 + 3k5 = 0 Factor out the Greatest Common Factor (GCF), '3k3'. 3k3(-16 + k2) = 0 Factor a difference between two squares. 3k3((4 + k)(-4 + k)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'k3' equal to zero and attempt to solve: Simplifying k3 = 0 Solving k3 = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 = -4Subproblem 3
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 = {-4, 4}
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