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Simplifying 6k2 + -7k = 0 Reorder the terms: -7k + 6k2 = 0 Solving -7k + 6k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(-7 + 6k) = 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 '(-7 + 6k)' equal to zero and attempt to solve: Simplifying -7 + 6k = 0 Solving -7 + 6k = 0 Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 6k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6k = 0 + 7 6k = 0 + 7 Combine like terms: 0 + 7 = 7 6k = 7 Divide each side by '6'. k = 1.166666667 Simplifying k = 1.166666667Solution
k = {0, 1.166666667}
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