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Simplifying 5k2(k4 + -3k3) = 0 Reorder the terms: 5k2(-3k3 + k4) = 0 (-3k3 * 5k2 + k4 * 5k2) = 0 (-15k5 + 5k6) = 0 Solving -15k5 + 5k6 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '5k5'. 5k5(-3 + k) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'k5' equal to zero and attempt to solve: Simplifying k5 = 0 Solving k5 = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k5 = 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 '(-3 + k)' equal to zero and attempt to solve: Simplifying -3 + k = 0 Solving -3 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + k = 0 + 3 k = 0 + 3 Combine like terms: 0 + 3 = 3 k = 3 Simplifying k = 3Solution
k = {3}
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