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Simplifying 3k2 + 17k + 28 = -8k Reorder the terms: 28 + 17k + 3k2 = -8k Solving 28 + 17k + 3k2 = -8k Solving for variable 'k'. Reorder the terms: 28 + 17k + 8k + 3k2 = -8k + 8k Combine like terms: 17k + 8k = 25k 28 + 25k + 3k2 = -8k + 8k Combine like terms: -8k + 8k = 0 28 + 25k + 3k2 = 0 Factor a trinomial. (7 + k)(4 + 3k) = 0Subproblem 1
Set the factor '(7 + k)' equal to zero and attempt to solve: Simplifying 7 + k = 0 Solving 7 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + k = 0 + -7 k = 0 + -7 Combine like terms: 0 + -7 = -7 k = -7 Simplifying k = -7Subproblem 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 = {-7, -1.333333333}
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