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Simplifying 2k2 + -17k + 28 = -7 Reorder the terms: 28 + -17k + 2k2 = -7 Solving 28 + -17k + 2k2 = -7 Solving for variable 'k'. Reorder the terms: 28 + 7 + -17k + 2k2 = -7 + 7 Combine like terms: 28 + 7 = 35 35 + -17k + 2k2 = -7 + 7 Combine like terms: -7 + 7 = 0 35 + -17k + 2k2 = 0 Factor a trinomial. (7 + -2k)(5 + -1k) = 0Subproblem 1
Set the factor '(7 + -2k)' equal to zero and attempt to solve: Simplifying 7 + -2k = 0 Solving 7 + -2k = 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 + -2k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2k = 0 + -7 -2k = 0 + -7 Combine like terms: 0 + -7 = -7 -2k = -7 Divide each side by '-2'. k = 3.5 Simplifying k = 3.5Subproblem 2
Set the factor '(5 + -1k)' equal to zero and attempt to solve: Simplifying 5 + -1k = 0 Solving 5 + -1k = 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 + -1k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = 0 + -5 -1k = 0 + -5 Combine like terms: 0 + -5 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5Solution
k = {3.5, 5}
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