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Simplifying 21k2 + -87k + -90 = 0 Reorder the terms: -90 + -87k + 21k2 = 0 Solving -90 + -87k + 21k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '3'. 3(-30 + -29k + 7k2) = 0 Factor a trinomial. 3((-6 + -7k)(5 + -1k)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-6 + -7k)' equal to zero and attempt to solve: Simplifying -6 + -7k = 0 Solving -6 + -7k = 0 Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7k = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7k = 0 + 6 -7k = 0 + 6 Combine like terms: 0 + 6 = 6 -7k = 6 Divide each side by '-7'. k = -0.8571428571 Simplifying k = -0.8571428571Subproblem 2
Set the factor '(5 + -1k)' equal to zero and attempt to solve: Simplifying 5 + -1k = 0 Solving 5 + -1k = 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 + -1k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = 0 + -5 -1k = 0 + -5 Combine like terms: 0 + -5 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5Solution
k = {-0.8571428571, 5}
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