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Simplifying 7k(k + 5) = 0 Reorder the terms: 7k(5 + k) = 0 (5 * 7k + k * 7k) = 0 (35k + 7k2) = 0 Solving 35k + 7k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '7k'. 7k(5 + k) = 0 Ignore the factor 7.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 '(5 + k)' equal to zero and attempt to solve: Simplifying 5 + k = 0 Solving 5 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + k = 0 + -5 k = 0 + -5 Combine like terms: 0 + -5 = -5 k = -5 Simplifying k = -5Solution
k = {0, -5}
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