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Simplifying 3n(5n2 + 3) = 0 Reorder the terms: 3n(3 + 5n2) = 0 (3 * 3n + 5n2 * 3n) = 0 (9n + 15n3) = 0 Solving 9n + 15n3 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '3n'. 3n(3 + 5n2) = 0 Ignore the factor 3.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 '(3 + 5n2)' equal to zero and attempt to solve: Simplifying 3 + 5n2 = 0 Solving 3 + 5n2 = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5n2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5n2 = 0 + -3 5n2 = 0 + -3 Combine like terms: 0 + -3 = -3 5n2 = -3 Divide each side by '5'. n2 = -0.6 Simplifying n2 = -0.6 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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