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Simplifying (3n2 + -4n + 1) + -1(8n2 + -4n + 17) = 0 Reorder the terms: (1 + -4n + 3n2) + -1(8n2 + -4n + 17) = 0 Remove parenthesis around (1 + -4n + 3n2) 1 + -4n + 3n2 + -1(8n2 + -4n + 17) = 0 Reorder the terms: 1 + -4n + 3n2 + -1(17 + -4n + 8n2) = 0 1 + -4n + 3n2 + (17 * -1 + -4n * -1 + 8n2 * -1) = 0 1 + -4n + 3n2 + (-17 + 4n + -8n2) = 0 Reorder the terms: 1 + -17 + -4n + 4n + 3n2 + -8n2 = 0 Combine like terms: 1 + -17 = -16 -16 + -4n + 4n + 3n2 + -8n2 = 0 Combine like terms: -4n + 4n = 0 -16 + 0 + 3n2 + -8n2 = 0 -16 + 3n2 + -8n2 = 0 Combine like terms: 3n2 + -8n2 = -5n2 -16 + -5n2 = 0 Solving -16 + -5n2 = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -5n2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -5n2 = 0 + 16 -5n2 = 0 + 16 Combine like terms: 0 + 16 = 16 -5n2 = 16 Divide each side by '-5'. n2 = -3.2 Simplifying n2 = -3.2 Reorder the terms: 3.2 + n2 = -3.2 + 3.2 Combine like terms: -3.2 + 3.2 = 0.0 3.2 + n2 = 0.0 The solution to this equation could not be determined.
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