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Simplifying -7n2 + 16n = 8n Reorder the terms: 16n + -7n2 = 8n Solving 16n + -7n2 = 8n Solving for variable 'n'. Reorder the terms: 16n + -8n + -7n2 = 8n + -8n Combine like terms: 16n + -8n = 8n 8n + -7n2 = 8n + -8n Combine like terms: 8n + -8n = 0 8n + -7n2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(8 + -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 '(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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