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Simplifying n2 + 21n = 0 Reorder the terms: 21n + n2 = 0 Solving 21n + n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(21 + n) = 0Subproblem 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 '(21 + n)' equal to zero and attempt to solve: Simplifying 21 + n = 0 Solving 21 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + n = 0 + -21 Combine like terms: 21 + -21 = 0 0 + n = 0 + -21 n = 0 + -21 Combine like terms: 0 + -21 = -21 n = -21 Simplifying n = -21Solution
n = {0, -21}
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