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Simplifying 14n2 + 16n = 0 Reorder the terms: 16n + 14n2 = 0 Solving 16n + 14n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), '2n'. 2n(8 + 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 '(8 + 7n)' equal to zero and attempt to solve: Simplifying 8 + 7n = 0 Solving 8 + 7n = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7n = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7n = 0 + -8 7n = 0 + -8 Combine like terms: 0 + -8 = -8 7n = -8 Divide each side by '7'. n = -1.142857143 Simplifying n = -1.142857143Solution
n = {0, -1.142857143}
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