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Simplifying 16k2 + 40k + 12 = -13 Reorder the terms: 12 + 40k + 16k2 = -13 Solving 12 + 40k + 16k2 = -13 Solving for variable 'k'. Reorder the terms: 12 + 13 + 40k + 16k2 = -13 + 13 Combine like terms: 12 + 13 = 25 25 + 40k + 16k2 = -13 + 13 Combine like terms: -13 + 13 = 0 25 + 40k + 16k2 = 0 Factor a trinomial. (5 + 4k)(5 + 4k) = 0Subproblem 1
Set the factor '(5 + 4k)' equal to zero and attempt to solve: Simplifying 5 + 4k = 0 Solving 5 + 4k = 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 + 4k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4k = 0 + -5 4k = 0 + -5 Combine like terms: 0 + -5 = -5 4k = -5 Divide each side by '4'. k = -1.25 Simplifying k = -1.25Subproblem 2
Set the factor '(5 + 4k)' equal to zero and attempt to solve: Simplifying 5 + 4k = 0 Solving 5 + 4k = 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 + 4k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4k = 0 + -5 4k = 0 + -5 Combine like terms: 0 + -5 = -5 4k = -5 Divide each side by '4'. k = -1.25 Simplifying k = -1.25Solution
k = {-1.25, -1.25}
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