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Simplifying 5n2 + 45n + 70n = 0 Reorder the terms: 45n + 70n + 5n2 = 0 Combine like terms: 45n + 70n = 115n 115n + 5n2 = 0 Solving 115n + 5n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '5n'. 5n(23 + n) = 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 '(23 + n)' equal to zero and attempt to solve: Simplifying 23 + n = 0 Solving 23 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + n = 0 + -23 Combine like terms: 23 + -23 = 0 0 + n = 0 + -23 n = 0 + -23 Combine like terms: 0 + -23 = -23 n = -23 Simplifying n = -23Solution
n = {0, -23}
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