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Simplifying 68k2 + 83k + 24 = 0 Reorder the terms: 24 + 83k + 68k2 = 0 Solving 24 + 83k + 68k2 = 0 Solving for variable 'k'. Factor a trinomial. (3 + 4k)(8 + 17k) = 0Subproblem 1
Set the factor '(3 + 4k)' equal to zero and attempt to solve: Simplifying 3 + 4k = 0 Solving 3 + 4k = 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 + 4k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4k = 0 + -3 4k = 0 + -3 Combine like terms: 0 + -3 = -3 4k = -3 Divide each side by '4'. k = -0.75 Simplifying k = -0.75Subproblem 2
Set the factor '(8 + 17k)' equal to zero and attempt to solve: Simplifying 8 + 17k = 0 Solving 8 + 17k = 0 Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 17k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 17k = 0 + -8 17k = 0 + -8 Combine like terms: 0 + -8 = -8 17k = -8 Divide each side by '17'. k = -0.4705882353 Simplifying k = -0.4705882353Solution
k = {-0.75, -0.4705882353}
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