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Simplifying 4k(k) = 5k Multiply k * k 4k2 = 5k Solving 4k2 = 5k Solving for variable 'k'. Reorder the terms: -5k + 4k2 = 5k + -5k Combine like terms: 5k + -5k = 0 -5k + 4k2 = 0 Factor out the Greatest Common Factor (GCF), 'k'. k(-5 + 4k) = 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 '(-5 + 4k)' equal to zero and attempt to solve: Simplifying -5 + 4k = 0 Solving -5 + 4k = 0 Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 4k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4k = 0 + 5 4k = 0 + 5 Combine like terms: 0 + 5 = 5 4k = 5 Divide each side by '4'. k = 1.25 Simplifying k = 1.25Solution
k = {0, 1.25}
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