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Simplifying 7k2 = 15k + 10k Combine like terms: 15k + 10k = 25k 7k2 = 25k Solving 7k2 = 25k Solving for variable 'k'. Reorder the terms: -25k + 7k2 = 25k + -25k Combine like terms: 25k + -25k = 0 -25k + 7k2 = 0 Factor out the Greatest Common Factor (GCF), 'k'. k(-25 + 7k) = 0Subproblem 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 '(-25 + 7k)' equal to zero and attempt to solve: Simplifying -25 + 7k = 0 Solving -25 + 7k = 0 Move all terms containing k to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 7k = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 7k = 0 + 25 7k = 0 + 25 Combine like terms: 0 + 25 = 25 7k = 25 Divide each side by '7'. k = 3.571428571 Simplifying k = 3.571428571Solution
k = {0, 3.571428571}
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