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Simplifying 3k2 = 8k Solving 3k2 = 8k Solving for variable 'k'. Reorder the terms: -8k + 3k2 = 8k + -8k Combine like terms: 8k + -8k = 0 -8k + 3k2 = 0 Factor out the Greatest Common Factor (GCF), 'k'. k(-8 + 3k) = 0Subproblem 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 '(-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 = 2.666666667Solution
k = {0, 2.666666667}
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