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Simplifying 56k2 + -40k + 0 = 0 Reorder the terms: 0 + -40k + 56k2 = 0 Remove the zero: -40k + 56k2 = 0 Solving -40k + 56k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '8k'. 8k(-5 + 7k) = 0 Ignore the factor 8.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 '(-5 + 7k)' equal to zero and attempt to solve: Simplifying -5 + 7k = 0 Solving -5 + 7k = 0 Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7k = 0 + 5 7k = 0 + 5 Combine like terms: 0 + 5 = 5 7k = 5 Divide each side by '7'. k = 0.7142857143 Simplifying k = 0.7142857143Solution
k = {0, 0.7142857143}
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