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Simplifying 7k2 + 10k = 0 Reorder the terms: 10k + 7k2 = 0 Solving 10k + 7k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(10 + 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 '(10 + 7k)' equal to zero and attempt to solve: Simplifying 10 + 7k = 0 Solving 10 + 7k = 0 Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7k = 0 + -10 7k = 0 + -10 Combine like terms: 0 + -10 = -10 7k = -10 Divide each side by '7'. k = -1.428571429 Simplifying k = -1.428571429Solution
k = {0, -1.428571429}
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