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Simplifying 9k2 + -4k = 0 Reorder the terms: -4k + 9k2 = 0 Solving -4k + 9k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(-4 + 9k) = 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 '(-4 + 9k)' equal to zero and attempt to solve: Simplifying -4 + 9k = 0 Solving -4 + 9k = 0 Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 9k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9k = 0 + 4 9k = 0 + 4 Combine like terms: 0 + 4 = 4 9k = 4 Divide each side by '9'. k = 0.4444444444 Simplifying k = 0.4444444444Solution
k = {0, 0.4444444444}
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