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Simplifying 3n2 = -21n Solving 3n2 = -21n Solving for variable 'n'. Reorder the terms: 21n + 3n2 = -21n + 21n Combine like terms: -21n + 21n = 0 21n + 3n2 = 0 Factor out the Greatest Common Factor (GCF), '3n'. 3n(7 + n) = 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 '(7 + n)' equal to zero and attempt to solve: Simplifying 7 + n = 0 Solving 7 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + n = 0 + -7 Combine like terms: 7 + -7 = 0 0 + n = 0 + -7 n = 0 + -7 Combine like terms: 0 + -7 = -7 n = -7 Simplifying n = -7Solution
n = {0, -7}
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