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Simplifying (4k + 9)(4k + 9) = 0 Reorder the terms: (9 + 4k)(4k + 9) = 0 Reorder the terms: (9 + 4k)(9 + 4k) = 0 Multiply (9 + 4k) * (9 + 4k) (9(9 + 4k) + 4k * (9 + 4k)) = 0 ((9 * 9 + 4k * 9) + 4k * (9 + 4k)) = 0 ((81 + 36k) + 4k * (9 + 4k)) = 0 (81 + 36k + (9 * 4k + 4k * 4k)) = 0 (81 + 36k + (36k + 16k2)) = 0 Combine like terms: 36k + 36k = 72k (81 + 72k + 16k2) = 0 Solving 81 + 72k + 16k2 = 0 Solving for variable 'k'. Factor a trinomial. (9 + 4k)(9 + 4k) = 0Subproblem 1
Set the factor '(9 + 4k)' equal to zero and attempt to solve: Simplifying 9 + 4k = 0 Solving 9 + 4k = 0 Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4k = 0 + -9 4k = 0 + -9 Combine like terms: 0 + -9 = -9 4k = -9 Divide each side by '4'. k = -2.25 Simplifying k = -2.25Subproblem 2
Set the factor '(9 + 4k)' equal to zero and attempt to solve: Simplifying 9 + 4k = 0 Solving 9 + 4k = 0 Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4k = 0 + -9 4k = 0 + -9 Combine like terms: 0 + -9 = -9 4k = -9 Divide each side by '4'. k = -2.25 Simplifying k = -2.25Solution
k = {-2.25, -2.25}
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