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Simplifying -16k = 64 + -3k2 Solving -16k = 64 + -3k2 Solving for variable 'k'. Reorder the terms: -64 + -16k + 3k2 = 64 + -3k2 + -64 + 3k2 Reorder the terms: -64 + -16k + 3k2 = 64 + -64 + -3k2 + 3k2 Combine like terms: 64 + -64 = 0 -64 + -16k + 3k2 = 0 + -3k2 + 3k2 -64 + -16k + 3k2 = -3k2 + 3k2 Combine like terms: -3k2 + 3k2 = 0 -64 + -16k + 3k2 = 0 Factor a trinomial. (-8 + -3k)(8 + -1k) = 0Subproblem 1
Set the factor '(-8 + -3k)' equal to zero and attempt to solve: Simplifying -8 + -3k = 0 Solving -8 + -3k = 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 + -3k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3k = 0 + 8 -3k = 0 + 8 Combine like terms: 0 + 8 = 8 -3k = 8 Divide each side by '-3'. k = -2.666666667 Simplifying k = -2.666666667Subproblem 2
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 = 8Solution
k = {-2.666666667, 8}
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