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Simplifying 3k + -2k2 + -1k2 + 8k = 0 Reorder the terms: 3k + 8k + -2k2 + -1k2 = 0 Combine like terms: 3k + 8k = 11k 11k + -2k2 + -1k2 = 0 Combine like terms: -2k2 + -1k2 = -3k2 11k + -3k2 = 0 Solving 11k + -3k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(11 + -3k) = 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 '(11 + -3k)' equal to zero and attempt to solve: Simplifying 11 + -3k = 0 Solving 11 + -3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -3k = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -3k = 0 + -11 -3k = 0 + -11 Combine like terms: 0 + -11 = -11 -3k = -11 Divide each side by '-3'. k = 3.666666667 Simplifying k = 3.666666667Solution
k = {0, 3.666666667}
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