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Simplifying 21k2 + -78k + -24 = 0 Reorder the terms: -24 + -78k + 21k2 = 0 Solving -24 + -78k + 21k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '3'. 3(-8 + -26k + 7k2) = 0 Factor a trinomial. 3((-2 + -7k)(4 + -1k)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -7k)' equal to zero and attempt to solve: Simplifying -2 + -7k = 0 Solving -2 + -7k = 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 + -7k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7k = 0 + 2 -7k = 0 + 2 Combine like terms: 0 + 2 = 2 -7k = 2 Divide each side by '-7'. k = -0.2857142857 Simplifying k = -0.2857142857Subproblem 2
Set the factor '(4 + -1k)' equal to zero and attempt to solve: Simplifying 4 + -1k = 0 Solving 4 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = 0 + -4 -1k = 0 + -4 Combine like terms: 0 + -4 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4Solution
k = {-0.2857142857, 4}
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