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Simplifying 66k2 + 5k + 4 = -1k + 4 Reorder the terms: 4 + 5k + 66k2 = -1k + 4 Reorder the terms: 4 + 5k + 66k2 = 4 + -1k Add '-4' to each side of the equation. 4 + 5k + -4 + 66k2 = 4 + -4 + -1k Reorder the terms: 4 + -4 + 5k + 66k2 = 4 + -4 + -1k Combine like terms: 4 + -4 = 0 0 + 5k + 66k2 = 4 + -4 + -1k 5k + 66k2 = 4 + -4 + -1k Combine like terms: 4 + -4 = 0 5k + 66k2 = 0 + -1k 5k + 66k2 = -1k Solving 5k + 66k2 = -1k Solving for variable 'k'. Reorder the terms: 5k + k + 66k2 = -1k + k Combine like terms: 5k + k = 6k 6k + 66k2 = -1k + k Combine like terms: -1k + k = 0 6k + 66k2 = 0 Factor out the Greatest Common Factor (GCF), '6k'. 6k(1 + 11k) = 0 Ignore the factor 6.Subproblem 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 '(1 + 11k)' equal to zero and attempt to solve: Simplifying 1 + 11k = 0 Solving 1 + 11k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 11k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 11k = 0 + -1 11k = 0 + -1 Combine like terms: 0 + -1 = -1 11k = -1 Divide each side by '11'. k = -0.09090909091 Simplifying k = -0.09090909091Solution
k = {0, -0.09090909091}
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