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Simplifying 3k2 + 10k = -8 Reorder the terms: 10k + 3k2 = -8 Solving 10k + 3k2 = -8 Solving for variable 'k'. Reorder the terms: 8 + 10k + 3k2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + 10k + 3k2 = 0 Factor a trinomial. (2 + k)(4 + 3k) = 0Subproblem 1
Set the factor '(2 + k)' equal to zero and attempt to solve: Simplifying 2 + k = 0 Solving 2 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + k = 0 + -2 k = 0 + -2 Combine like terms: 0 + -2 = -2 k = -2 Simplifying k = -2Subproblem 2
Set the factor '(4 + 3k)' equal to zero and attempt to solve: Simplifying 4 + 3k = 0 Solving 4 + 3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3k = 0 + -4 3k = 0 + -4 Combine like terms: 0 + -4 = -4 3k = -4 Divide each side by '3'. k = -1.333333333 Simplifying k = -1.333333333Solution
k = {-2, -1.333333333}
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