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Simplifying 4k3 = 9k2 Solving 4k3 = 9k2 Solving for variable 'k'. Reorder the terms: -9k2 + 4k3 = 9k2 + -9k2 Combine like terms: 9k2 + -9k2 = 0 -9k2 + 4k3 = 0 Factor out the Greatest Common Factor (GCF), 'k2'. k2(-9 + 4k) = 0Subproblem 1
Set the factor 'k2' equal to zero and attempt to solve: Simplifying k2 = 0 Solving k2 = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k2 = 0 Take the square root of each side: k = {0}Subproblem 2
Set the factor '(-9 + 4k)' equal to zero and attempt to solve: Simplifying -9 + 4k = 0 Solving -9 + 4k = 0 Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 4k = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 4k = 0 + 9 4k = 0 + 9 Combine like terms: 0 + 9 = 9 4k = 9 Divide each side by '4'. k = 2.25 Simplifying k = 2.25Solution
k = {0, 2.25}
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