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Simplifying 8k2 + 8k + 4 = -8 + 7k2 Reorder the terms: 4 + 8k + 8k2 = -8 + 7k2 Solving 4 + 8k + 8k2 = -8 + 7k2 Solving for variable 'k'. Reorder the terms: 4 + 8 + 8k + 8k2 + -7k2 = -8 + 7k2 + 8 + -7k2 Combine like terms: 4 + 8 = 12 12 + 8k + 8k2 + -7k2 = -8 + 7k2 + 8 + -7k2 Combine like terms: 8k2 + -7k2 = 1k2 12 + 8k + 1k2 = -8 + 7k2 + 8 + -7k2 Reorder the terms: 12 + 8k + 1k2 = -8 + 8 + 7k2 + -7k2 Combine like terms: -8 + 8 = 0 12 + 8k + 1k2 = 0 + 7k2 + -7k2 12 + 8k + 1k2 = 7k2 + -7k2 Combine like terms: 7k2 + -7k2 = 0 12 + 8k + 1k2 = 0 Factor a trinomial. (6 + k)(2 + k) = 0Subproblem 1
Set the factor '(6 + k)' equal to zero and attempt to solve: Simplifying 6 + k = 0 Solving 6 + k = 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 + k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + k = 0 + -6 k = 0 + -6 Combine like terms: 0 + -6 = -6 k = -6 Simplifying k = -6Subproblem 2
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 = -2Solution
k = {-6, -2}
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