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Simplifying -7k2 + 11k = -8k2 + -24 Reorder the terms: 11k + -7k2 = -8k2 + -24 Reorder the terms: 11k + -7k2 = -24 + -8k2 Solving 11k + -7k2 = -24 + -8k2 Solving for variable 'k'. Reorder the terms: 24 + 11k + -7k2 + 8k2 = -24 + -8k2 + 24 + 8k2 Combine like terms: -7k2 + 8k2 = 1k2 24 + 11k + 1k2 = -24 + -8k2 + 24 + 8k2 Reorder the terms: 24 + 11k + 1k2 = -24 + 24 + -8k2 + 8k2 Combine like terms: -24 + 24 = 0 24 + 11k + 1k2 = 0 + -8k2 + 8k2 24 + 11k + 1k2 = -8k2 + 8k2 Combine like terms: -8k2 + 8k2 = 0 24 + 11k + 1k2 = 0 Factor a trinomial. (8 + k)(3 + k) = 0Subproblem 1
Set the factor '(8 + k)' equal to zero and attempt to solve: Simplifying 8 + k = 0 Solving 8 + k = 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 + k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + k = 0 + -8 k = 0 + -8 Combine like terms: 0 + -8 = -8 k = -8 Simplifying k = -8Subproblem 2
Set the factor '(3 + k)' equal to zero and attempt to solve: Simplifying 3 + k = 0 Solving 3 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + k = 0 + -3 k = 0 + -3 Combine like terms: 0 + -3 = -3 k = -3 Simplifying k = -3Solution
k = {-8, -3}
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