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Simplifying (7k + 8)(k + 9) = 0 Reorder the terms: (8 + 7k)(k + 9) = 0 Reorder the terms: (8 + 7k)(9 + k) = 0 Multiply (8 + 7k) * (9 + k) (8(9 + k) + 7k * (9 + k)) = 0 ((9 * 8 + k * 8) + 7k * (9 + k)) = 0 ((72 + 8k) + 7k * (9 + k)) = 0 (72 + 8k + (9 * 7k + k * 7k)) = 0 (72 + 8k + (63k + 7k2)) = 0 Combine like terms: 8k + 63k = 71k (72 + 71k + 7k2) = 0 Solving 72 + 71k + 7k2 = 0 Solving for variable 'k'. Factor a trinomial. (9 + k)(8 + 7k) = 0Subproblem 1
Set the factor '(9 + k)' equal to zero and attempt to solve: Simplifying 9 + k = 0 Solving 9 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + k = 0 + -9 k = 0 + -9 Combine like terms: 0 + -9 = -9 k = -9 Simplifying k = -9Subproblem 2
Set the factor '(8 + 7k)' equal to zero and attempt to solve: Simplifying 8 + 7k = 0 Solving 8 + 7k = 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 + 7k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7k = 0 + -8 7k = 0 + -8 Combine like terms: 0 + -8 = -8 7k = -8 Divide each side by '7'. k = -1.142857143 Simplifying k = -1.142857143Solution
k = {-9, -1.142857143}
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