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Simplifying n(7n + -6) = 0 Reorder the terms: n(-6 + 7n) = 0 (-6 * n + 7n * n) = 0 (-6n + 7n2) = 0 Solving -6n + 7n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-6 + 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 '(-6 + 7n)' equal to zero and attempt to solve: Simplifying -6 + 7n = 0 Solving -6 + 7n = 0 Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7n = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 7n = 0 + 6 7n = 0 + 6 Combine like terms: 0 + 6 = 6 7n = 6 Divide each side by '7'. n = 0.8571428571 Simplifying n = 0.8571428571Solution
n = {0, 0.8571428571}
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