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Simplifying (8k + -7)(7k + -9) = 0 Reorder the terms: (-7 + 8k)(7k + -9) = 0 Reorder the terms: (-7 + 8k)(-9 + 7k) = 0 Multiply (-7 + 8k) * (-9 + 7k) (-7(-9 + 7k) + 8k * (-9 + 7k)) = 0 ((-9 * -7 + 7k * -7) + 8k * (-9 + 7k)) = 0 ((63 + -49k) + 8k * (-9 + 7k)) = 0 (63 + -49k + (-9 * 8k + 7k * 8k)) = 0 (63 + -49k + (-72k + 56k2)) = 0 Combine like terms: -49k + -72k = -121k (63 + -121k + 56k2) = 0 Solving 63 + -121k + 56k2 = 0 Solving for variable 'k'. Factor a trinomial. (7 + -8k)(9 + -7k) = 0Subproblem 1
Set the factor '(7 + -8k)' equal to zero and attempt to solve: Simplifying 7 + -8k = 0 Solving 7 + -8k = 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 + -8k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8k = 0 + -7 -8k = 0 + -7 Combine like terms: 0 + -7 = -7 -8k = -7 Divide each side by '-8'. k = 0.875 Simplifying k = 0.875Subproblem 2
Set the factor '(9 + -7k)' equal to zero and attempt to solve: Simplifying 9 + -7k = 0 Solving 9 + -7k = 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 + -7k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7k = 0 + -9 -7k = 0 + -9 Combine like terms: 0 + -9 = -9 -7k = -9 Divide each side by '-7'. k = 1.285714286 Simplifying k = 1.285714286Solution
k = {0.875, 1.285714286}
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