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Simplifying 7n2 = 2n Solving 7n2 = 2n Solving for variable 'n'. Reorder the terms: -2n + 7n2 = 2n + -2n Combine like terms: 2n + -2n = 0 -2n + 7n2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-2 + 7n) = 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 '(-2 + 7n)' equal to zero and attempt to solve: Simplifying -2 + 7n = 0 Solving -2 + 7n = 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 + 7n = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7n = 0 + 2 7n = 0 + 2 Combine like terms: 0 + 2 = 2 7n = 2 Divide each side by '7'. n = 0.2857142857 Simplifying n = 0.2857142857Solution
n = {0, 0.2857142857}
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