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Simplifying 4k(7k + -4) = 0 Reorder the terms: 4k(-4 + 7k) = 0 (-4 * 4k + 7k * 4k) = 0 (-16k + 28k2) = 0 Solving -16k + 28k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '4k'. 4k(-4 + 7k) = 0 Ignore the factor 4.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 '(-4 + 7k)' equal to zero and attempt to solve: Simplifying -4 + 7k = 0 Solving -4 + 7k = 0 Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7k = 0 + 4 7k = 0 + 4 Combine like terms: 0 + 4 = 4 7k = 4 Divide each side by '7'. k = 0.5714285714 Simplifying k = 0.5714285714Solution
k = {0, 0.5714285714}
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