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Simplifying (N2 + 6)(5n) = 0 Reorder the terms: (6 + N2)(5n) = 0 Remove parenthesis around (5n) (6 + N2) * 5n = 0 Reorder the terms for easier multiplication: 5n(6 + N2) = 0 (6 * 5n + N2 * 5n) = 0 (30n + 5nN2) = 0 Solving 30n + 5nN2 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '5n'. 5n(6 + N2) = 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 '(6 + N2)' equal to zero and attempt to solve: Simplifying 6 + N2 = 0 Solving 6 + N2 = 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 + N2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + N2 = 0 + -6 N2 = 0 + -6 Combine like terms: 0 + -6 = -6 N2 = -6 Add '-1N2' to each side of the equation. N2 + -1N2 = -6 + -1N2 Combine like terms: N2 + -1N2 = 0 0 = -6 + -1N2 Simplifying 0 = -6 + -1N2 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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