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Simplifying 7k2 + -6k + 3 + -3 = 0 Reorder the terms: 3 + -3 + -6k + 7k2 = 0 Combine like terms: 3 + -3 = 0 0 + -6k + 7k2 = 0 -6k + 7k2 = 0 Solving -6k + 7k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(-6 + 7k) = 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 '(-6 + 7k)' equal to zero and attempt to solve: Simplifying -6 + 7k = 0 Solving -6 + 7k = 0 Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7k = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 7k = 0 + 6 7k = 0 + 6 Combine like terms: 0 + 6 = 6 7k = 6 Divide each side by '7'. k = 0.8571428571 Simplifying k = 0.8571428571Solution
k = {0, 0.8571428571}
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