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Simplifying 14k2 = 26k Solving 14k2 = 26k Solving for variable 'k'. Reorder the terms: -26k + 14k2 = 26k + -26k Combine like terms: 26k + -26k = 0 -26k + 14k2 = 0 Factor out the Greatest Common Factor (GCF), '2k'. 2k(-13 + 7k) = 0 Ignore the factor 2.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 '(-13 + 7k)' equal to zero and attempt to solve: Simplifying -13 + 7k = 0 Solving -13 + 7k = 0 Move all terms containing k to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 7k = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 7k = 0 + 13 7k = 0 + 13 Combine like terms: 0 + 13 = 13 7k = 13 Divide each side by '7'. k = 1.857142857 Simplifying k = 1.857142857Solution
k = {0, 1.857142857}
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