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Simplifying 18k2 + 21k + -30 = 0 Reorder the terms: -30 + 21k + 18k2 = 0 Solving -30 + 21k + 18k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '3'. 3(-10 + 7k + 6k2) = 0 Factor a trinomial. 3((-2 + -1k)(5 + -6k)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -1k)' equal to zero and attempt to solve: Simplifying -2 + -1k = 0 Solving -2 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1k = 0 + 2 -1k = 0 + 2 Combine like terms: 0 + 2 = 2 -1k = 2 Divide each side by '-1'. k = -2 Simplifying k = -2Subproblem 2
Set the factor '(5 + -6k)' equal to zero and attempt to solve: Simplifying 5 + -6k = 0 Solving 5 + -6k = 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 + -6k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6k = 0 + -5 -6k = 0 + -5 Combine like terms: 0 + -5 = -5 -6k = -5 Divide each side by '-6'. k = 0.8333333333 Simplifying k = 0.8333333333Solution
k = {-2, 0.8333333333}
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