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Simplifying -5k2 = -6k2 + -3k Reorder the terms: -5k2 = -3k + -6k2 Solving -5k2 = -3k + -6k2 Solving for variable 'k'. Reorder the terms: 3k + -5k2 + 6k2 = -3k + -6k2 + 3k + 6k2 Combine like terms: -5k2 + 6k2 = 1k2 3k + 1k2 = -3k + -6k2 + 3k + 6k2 Reorder the terms: 3k + 1k2 = -3k + 3k + -6k2 + 6k2 Combine like terms: -3k + 3k = 0 3k + 1k2 = 0 + -6k2 + 6k2 3k + 1k2 = -6k2 + 6k2 Combine like terms: -6k2 + 6k2 = 0 3k + 1k2 = 0 Factor out the Greatest Common Factor (GCF), 'k'. k(3 + k) = 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 '(3 + k)' equal to zero and attempt to solve: Simplifying 3 + k = 0 Solving 3 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + k = 0 + -3 k = 0 + -3 Combine like terms: 0 + -3 = -3 k = -3 Simplifying k = -3Solution
k = {0, -3}
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