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Simplifying 5n(7n + 9) = 0 Reorder the terms: 5n(9 + 7n) = 0 (9 * 5n + 7n * 5n) = 0 (45n + 35n2) = 0 Solving 45n + 35n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '5n'. 5n(9 + 7n) = 0 Ignore the factor 5.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 '(9 + 7n)' equal to zero and attempt to solve: Simplifying 9 + 7n = 0 Solving 9 + 7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7n = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7n = 0 + -9 7n = 0 + -9 Combine like terms: 0 + -9 = -9 7n = -9 Divide each side by '7'. n = -1.285714286 Simplifying n = -1.285714286Solution
n = {0, -1.285714286}
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