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Simplifying n(7n + -4) = 0 Reorder the terms: n(-4 + 7n) = 0 (-4 * n + 7n * n) = 0 (-4n + 7n2) = 0 Solving -4n + 7n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-4 + 7n) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(-4 + 7n)' equal to zero and attempt to solve: Simplifying -4 + 7n = 0 Solving -4 + 7n = 0 Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7n = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7n = 0 + 4 7n = 0 + 4 Combine like terms: 0 + 4 = 4 7n = 4 Divide each side by '7'. n = 0.5714285714 Simplifying n = 0.5714285714Solution
n = {0, 0.5714285714}
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