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Simplifying -40 + k + 6k2 = 0 Solving -40 + k + 6k2 = 0 Solving for variable 'k'. Factor a trinomial. (-8 + -3k)(5 + -2k) = 0Subproblem 1
Set the factor '(-8 + -3k)' equal to zero and attempt to solve: Simplifying -8 + -3k = 0 Solving -8 + -3k = 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 + -3k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3k = 0 + 8 -3k = 0 + 8 Combine like terms: 0 + 8 = 8 -3k = 8 Divide each side by '-3'. k = -2.666666667 Simplifying k = -2.666666667Subproblem 2
Set the factor '(5 + -2k)' equal to zero and attempt to solve: Simplifying 5 + -2k = 0 Solving 5 + -2k = 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 + -2k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2k = 0 + -5 -2k = 0 + -5 Combine like terms: 0 + -5 = -5 -2k = -5 Divide each side by '-2'. k = 2.5 Simplifying k = 2.5Solution
k = {-2.666666667, 2.5}
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