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Simplifying 7n2 + 46n + 7n2 = 0 Reorder the terms: 46n + 7n2 + 7n2 = 0 Combine like terms: 7n2 + 7n2 = 14n2 46n + 14n2 = 0 Solving 46n + 14n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(23 + 7n) = 0 Ignore the factor 2.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 + 7n)' equal to zero and attempt to solve: Simplifying 23 + 7n = 0 Solving 23 + 7n = 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 + 7n = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 7n = 0 + -23 7n = 0 + -23 Combine like terms: 0 + -23 = -23 7n = -23 Divide each side by '7'. n = -3.285714286 Simplifying n = -3.285714286Solution
n = {0, -3.285714286}
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