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Simplifying 10k2 + 40 = -41k Reorder the terms: 40 + 10k2 = -41k Solving 40 + 10k2 = -41k Solving for variable 'k'. Reorder the terms: 40 + 41k + 10k2 = -41k + 41k Combine like terms: -41k + 41k = 0 40 + 41k + 10k2 = 0 Factor a trinomial. (5 + 2k)(8 + 5k) = 0Subproblem 1
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 = -2.5Subproblem 2
Set the factor '(8 + 5k)' equal to zero and attempt to solve: Simplifying 8 + 5k = 0 Solving 8 + 5k = 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 + 5k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5k = 0 + -8 5k = 0 + -8 Combine like terms: 0 + -8 = -8 5k = -8 Divide each side by '5'. k = -1.6 Simplifying k = -1.6Solution
k = {-2.5, -1.6}
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