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Simplifying 6k2 + 19k + 11 = -3 Reorder the terms: 11 + 19k + 6k2 = -3 Solving 11 + 19k + 6k2 = -3 Solving for variable 'k'. Reorder the terms: 11 + 3 + 19k + 6k2 = -3 + 3 Combine like terms: 11 + 3 = 14 14 + 19k + 6k2 = -3 + 3 Combine like terms: -3 + 3 = 0 14 + 19k + 6k2 = 0 Factor a trinomial. (2 + k)(7 + 6k) = 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 '(7 + 6k)' equal to zero and attempt to solve: Simplifying 7 + 6k = 0 Solving 7 + 6k = 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 + 6k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6k = 0 + -7 6k = 0 + -7 Combine like terms: 0 + -7 = -7 6k = -7 Divide each side by '6'. k = -1.166666667 Simplifying k = -1.166666667Solution
k = {-2, -1.166666667}
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