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Simplifying 9n(7n + 4) = 0 Reorder the terms: 9n(4 + 7n) = 0 (4 * 9n + 7n * 9n) = 0 (36n + 63n2) = 0 Solving 36n + 63n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '9n'. 9n(4 + 7n) = 0 Ignore the factor 9.Subproblem 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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