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Simplifying 7k2 + 48k + -64 = 0 Reorder the terms: -64 + 48k + 7k2 = 0 Solving -64 + 48k + 7k2 = 0 Solving for variable 'k'. Factor a trinomial. (-8 + -1k)(8 + -7k) = 0Subproblem 1
Set the factor '(-8 + -1k)' equal to zero and attempt to solve: Simplifying -8 + -1k = 0 Solving -8 + -1k = 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 + -1k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1k = 0 + 8 -1k = 0 + 8 Combine like terms: 0 + 8 = 8 -1k = 8 Divide each side by '-1'. k = -8 Simplifying k = -8Subproblem 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 = {-8, 1.142857143}
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