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Simplifying 64k2 + 48k + 9 = 0 Reorder the terms: 9 + 48k + 64k2 = 0 Solving 9 + 48k + 64k2 = 0 Solving for variable 'k'. Factor a trinomial. (3 + 8k)(3 + 8k) = 0Subproblem 1
Set the factor '(3 + 8k)' equal to zero and attempt to solve: Simplifying 3 + 8k = 0 Solving 3 + 8k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8k = 0 + -3 8k = 0 + -3 Combine like terms: 0 + -3 = -3 8k = -3 Divide each side by '8'. k = -0.375 Simplifying k = -0.375Subproblem 2
Set the factor '(3 + 8k)' equal to zero and attempt to solve: Simplifying 3 + 8k = 0 Solving 3 + 8k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8k = 0 + -3 8k = 0 + -3 Combine like terms: 0 + -3 = -3 8k = -3 Divide each side by '8'. k = -0.375 Simplifying k = -0.375Solution
k = {-0.375, -0.375}
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