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Simplifying 21k2 + -280k + 91 = 0 Reorder the terms: 91 + -280k + 21k2 = 0 Solving 91 + -280k + 21k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '7'. 7(13 + -40k + 3k2) = 0 Factor a trinomial. 7((1 + -3k)(13 + -1k)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(1 + -3k)' equal to zero and attempt to solve: Simplifying 1 + -3k = 0 Solving 1 + -3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3k = 0 + -1 -3k = 0 + -1 Combine like terms: 0 + -1 = -1 -3k = -1 Divide each side by '-3'. k = 0.3333333333 Simplifying k = 0.3333333333Subproblem 2
Set the factor '(13 + -1k)' equal to zero and attempt to solve: Simplifying 13 + -1k = 0 Solving 13 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1k = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1k = 0 + -13 -1k = 0 + -13 Combine like terms: 0 + -13 = -13 -1k = -13 Divide each side by '-1'. k = 13 Simplifying k = 13Solution
k = {0.3333333333, 13}
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