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Simplifying 7n2 = 8n Solving 7n2 = 8n Solving for variable 'n'. Reorder the terms: -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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