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Simplifying 9k2 + 12k + 4 = 0 Reorder the terms: 4 + 12k + 9k2 = 0 Solving 4 + 12k + 9k2 = 0 Solving for variable 'k'. Factor a trinomial. (2 + 3k)(2 + 3k) = 0Subproblem 1
Set the factor '(2 + 3k)' equal to zero and attempt to solve: Simplifying 2 + 3k = 0 Solving 2 + 3k = 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 + 3k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3k = 0 + -2 3k = 0 + -2 Combine like terms: 0 + -2 = -2 3k = -2 Divide each side by '3'. k = -0.6666666667 Simplifying k = -0.6666666667Subproblem 2
Set the factor '(2 + 3k)' equal to zero and attempt to solve: Simplifying 2 + 3k = 0 Solving 2 + 3k = 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 + 3k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3k = 0 + -2 3k = 0 + -2 Combine like terms: 0 + -2 = -2 3k = -2 Divide each side by '3'. k = -0.6666666667 Simplifying k = -0.6666666667Solution
k = {-0.6666666667, -0.6666666667}
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