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Simplifying -5k2(k4 + -2k3) = 0 Reorder the terms: -5k2(-2k3 + k4) = 0 (-2k3 * -5k2 + k4 * -5k2) = 0 (10k5 + -5k6) = 0 Solving 10k5 + -5k6 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '5k5'. 5k5(2 + -1k) = 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 '(2 + -1k)' equal to zero and attempt to solve: Simplifying 2 + -1k = 0 Solving 2 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1k = 0 + -2 -1k = 0 + -2 Combine like terms: 0 + -2 = -2 -1k = -2 Divide each side by '-1'. k = 2 Simplifying k = 2Solution
k = {2}
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