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Simplifying 16k2 + 88k + 121 = 0 Reorder the terms: 121 + 88k + 16k2 = 0 Solving 121 + 88k + 16k2 = 0 Solving for variable 'k'. Factor a trinomial. (11 + 4k)(11 + 4k) = 0Subproblem 1
Set the factor '(11 + 4k)' equal to zero and attempt to solve: Simplifying 11 + 4k = 0 Solving 11 + 4k = 0 Move all terms containing k to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4k = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4k = 0 + -11 4k = 0 + -11 Combine like terms: 0 + -11 = -11 4k = -11 Divide each side by '4'. k = -2.75 Simplifying k = -2.75Subproblem 2
Set the factor '(11 + 4k)' equal to zero and attempt to solve: Simplifying 11 + 4k = 0 Solving 11 + 4k = 0 Move all terms containing k to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4k = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4k = 0 + -11 4k = 0 + -11 Combine like terms: 0 + -11 = -11 4k = -11 Divide each side by '4'. k = -2.75 Simplifying k = -2.75Solution
k = {-2.75, -2.75}
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