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Simplifying 5k2 = -11k + -6 Reorder the terms: 5k2 = -6 + -11k Solving 5k2 = -6 + -11k Solving for variable 'k'. Reorder the terms: 6 + 11k + 5k2 = -6 + -11k + 6 + 11k Reorder the terms: 6 + 11k + 5k2 = -6 + 6 + -11k + 11k Combine like terms: -6 + 6 = 0 6 + 11k + 5k2 = 0 + -11k + 11k 6 + 11k + 5k2 = -11k + 11k Combine like terms: -11k + 11k = 0 6 + 11k + 5k2 = 0 Factor a trinomial. (6 + 5k)(1 + k) = 0Subproblem 1
Set the factor '(6 + 5k)' equal to zero and attempt to solve: Simplifying 6 + 5k = 0 Solving 6 + 5k = 0 Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5k = 0 + -6 5k = 0 + -6 Combine like terms: 0 + -6 = -6 5k = -6 Divide each side by '5'. k = -1.2 Simplifying k = -1.2Subproblem 2
Set the factor '(1 + k)' equal to zero and attempt to solve: Simplifying 1 + k = 0 Solving 1 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + k = 0 + -1 k = 0 + -1 Combine like terms: 0 + -1 = -1 k = -1 Simplifying k = -1Solution
k = {-1.2, -1}
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