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Simplifying 8n2 = 9n Solving 8n2 = 9n Solving for variable 'n'. Reorder the terms: -9n + 8n2 = 9n + -9n Combine like terms: 9n + -9n = 0 -9n + 8n2 = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-9 + 8n) = 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 '(-9 + 8n)' equal to zero and attempt to solve: Simplifying -9 + 8n = 0 Solving -9 + 8n = 0 Move all terms containing n to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 8n = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8n = 0 + 9 8n = 0 + 9 Combine like terms: 0 + 9 = 9 8n = 9 Divide each side by '8'. n = 1.125 Simplifying n = 1.125Solution
n = {0, 1.125}
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