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Simplifying 8k2 + -6k = 0 Reorder the terms: -6k + 8k2 = 0 Solving -6k + 8k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2k'. 2k(-3 + 4k) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0Subproblem 2
Set the factor '(-3 + 4k)' equal to zero and attempt to solve: Simplifying -3 + 4k = 0 Solving -3 + 4k = 0 Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4k = 0 + 3 4k = 0 + 3 Combine like terms: 0 + 3 = 3 4k = 3 Divide each side by '4'. k = 0.75 Simplifying k = 0.75Solution
k = {0, 0.75}
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