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Simplifying k2 + 14k + k = 0 Reorder the terms: 14k + k + k2 = 0 Combine like terms: 14k + k = 15k 15k + k2 = 0 Solving 15k + k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(15 + k) = 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 '(15 + k)' equal to zero and attempt to solve: Simplifying 15 + k = 0 Solving 15 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + k = 0 + -15 Combine like terms: 15 + -15 = 0 0 + k = 0 + -15 k = 0 + -15 Combine like terms: 0 + -15 = -15 k = -15 Simplifying k = -15Solution
k = {0, -15}
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