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Simplifying 21k2 + 72k = 0 Reorder the terms: 72k + 21k2 = 0 Solving 72k + 21k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '3k'. 3k(24 + 7k) = 0 Ignore the factor 3.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 '(24 + 7k)' equal to zero and attempt to solve: Simplifying 24 + 7k = 0 Solving 24 + 7k = 0 Move all terms containing k to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 7k = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 7k = 0 + -24 7k = 0 + -24 Combine like terms: 0 + -24 = -24 7k = -24 Divide each side by '7'. k = -3.428571429 Simplifying k = -3.428571429Solution
k = {0, -3.428571429}
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