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Simplifying 9k2 + 8k + -20 = 0 Reorder the terms: -20 + 8k + 9k2 = 0 Solving -20 + 8k + 9k2 = 0 Solving for variable 'k'. Factor a trinomial. (-2 + -1k)(10 + -9k) = 0Subproblem 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 '(10 + -9k)' equal to zero and attempt to solve: Simplifying 10 + -9k = 0 Solving 10 + -9k = 0 Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -9k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -9k = 0 + -10 -9k = 0 + -10 Combine like terms: 0 + -10 = -10 -9k = -10 Divide each side by '-9'. k = 1.111111111 Simplifying k = 1.111111111Solution
k = {-2, 1.111111111}
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