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Simplifying 7n2 = -14n Solving 7n2 = -14n Solving for variable 'n'. Reorder the terms: 14n + 7n2 = -14n + 14n Combine like terms: -14n + 14n = 0 14n + 7n2 = 0 Factor out the Greatest Common Factor (GCF), '7n'. 7n(2 + n) = 0 Ignore the factor 7.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 '(2 + n)' equal to zero and attempt to solve: Simplifying 2 + n = 0 Solving 2 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + n = 0 + -2 n = 0 + -2 Combine like terms: 0 + -2 = -2 n = -2 Simplifying n = -2Solution
n = {0, -2}
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