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Simplifying -5k + -3k + 6k2 + -5k2 + 7k = 0 Reorder the terms: -5k + -3k + 7k + 6k2 + -5k2 = 0 Combine like terms: -5k + -3k = -8k -8k + 7k + 6k2 + -5k2 = 0 Combine like terms: -8k + 7k = -1k -1k + 6k2 + -5k2 = 0 Combine like terms: 6k2 + -5k2 = 1k2 -1k + 1k2 = 0 Solving -1k + 1k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(-1 + 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 '(-1 + k)' equal to zero and attempt to solve: Simplifying -1 + k = 0 Solving -1 + k = 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 + k = 0 + 1 Combine like terms: -1 + 1 = 0 0 + k = 0 + 1 k = 0 + 1 Combine like terms: 0 + 1 = 1 k = 1 Simplifying k = 1Solution
k = {0, 1}
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