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Simplifying 9k2 = -4k Solving 9k2 = -4k Solving for variable 'k'. Reorder the terms: 4k + 9k2 = -4k + 4k Combine like terms: -4k + 4k = 0 4k + 9k2 = 0 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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