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Simplifying 9k2 + 14k + 5 = 0 Reorder the terms: 5 + 14k + 9k2 = 0 Solving 5 + 14k + 9k2 = 0 Solving for variable 'k'. Factor a trinomial. (1 + k)(5 + 9k) = 0Subproblem 1
Set the factor '(1 + k)' equal to zero and attempt to solve: Simplifying 1 + k = 0 Solving 1 + k = 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 + k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + k = 0 + -1 k = 0 + -1 Combine like terms: 0 + -1 = -1 k = -1 Simplifying k = -1Subproblem 2
Set the factor '(5 + 9k)' equal to zero and attempt to solve: Simplifying 5 + 9k = 0 Solving 5 + 9k = 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 + 9k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9k = 0 + -5 9k = 0 + -5 Combine like terms: 0 + -5 = -5 9k = -5 Divide each side by '9'. k = -0.5555555556 Simplifying k = -0.5555555556Solution
k = {-1, -0.5555555556}
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