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Simplifying 3k2 + 11k = -10 Reorder the terms: 11k + 3k2 = -10 Solving 11k + 3k2 = -10 Solving for variable 'k'. Reorder the terms: 10 + 11k + 3k2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 11k + 3k2 = 0 Factor a trinomial. (2 + k)(5 + 3k) = 0Subproblem 1
Set the factor '(2 + k)' equal to zero and attempt to solve: Simplifying 2 + k = 0 Solving 2 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + k = 0 + -2 k = 0 + -2 Combine like terms: 0 + -2 = -2 k = -2 Simplifying k = -2Subproblem 2
Set the factor '(5 + 3k)' equal to zero and attempt to solve: Simplifying 5 + 3k = 0 Solving 5 + 3k = 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 + 3k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3k = 0 + -5 3k = 0 + -5 Combine like terms: 0 + -5 = -5 3k = -5 Divide each side by '3'. k = -1.666666667 Simplifying k = -1.666666667Solution
k = {-2, -1.666666667}
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