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Simplifying 9k2 + 36k + 35 = 0 Reorder the terms: 35 + 36k + 9k2 = 0 Solving 35 + 36k + 9k2 = 0 Solving for variable 'k'. Factor a trinomial. (7 + 3k)(5 + 3k) = 0Subproblem 1
Set the factor '(7 + 3k)' equal to zero and attempt to solve: Simplifying 7 + 3k = 0 Solving 7 + 3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3k = 0 + -7 3k = 0 + -7 Combine like terms: 0 + -7 = -7 3k = -7 Divide each side by '3'. k = -2.333333333 Simplifying k = -2.333333333Subproblem 2
Set the factor '(5 + 3k)' equal to zero and attempt to solve: Simplifying 5 + 3k = 0 Solving 5 + 3k = 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 + 3k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3k = 0 + -5 3k = 0 + -5 Combine like terms: 0 + -5 = -5 3k = -5 Divide each side by '3'. k = -1.666666667 Simplifying k = -1.666666667Solution
k = {-2.333333333, -1.666666667}
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