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Simplifying 3n2 + -1n + 8 = 8 Reorder the terms: 8 + -1n + 3n2 = 8 Add '-8' to each side of the equation. 8 + -1n + -8 + 3n2 = 8 + -8 Reorder the terms: 8 + -8 + -1n + 3n2 = 8 + -8 Combine like terms: 8 + -8 = 0 0 + -1n + 3n2 = 8 + -8 -1n + 3n2 = 8 + -8 Combine like terms: 8 + -8 = 0 -1n + 3n2 = 0 Solving -1n + 3n2 = 0 Solving for variable 'n'. Factor out the Greatest Common Factor (GCF), 'n'. n(-1 + 3n) = 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 '(-1 + 3n)' equal to zero and attempt to solve: Simplifying -1 + 3n = 0 Solving -1 + 3n = 0 Move all terms containing n to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3n = 0 + 1 3n = 0 + 1 Combine like terms: 0 + 1 = 1 3n = 1 Divide each side by '3'. n = 0.3333333333 Simplifying n = 0.3333333333Solution
n = {0, 0.3333333333}
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