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Simplifying F(n) = n4 + 7n3 + 12n2 + -4n + -25 Multiply F * n nF = n4 + 7n3 + 12n2 + -4n + -25 Reorder the terms: nF = -25 + -4n + 12n2 + 7n3 + n4 Solving nF = -25 + -4n + 12n2 + 7n3 + n4 Solving for variable 'n'. Reorder the terms: 25 + 4n + nF + -12n2 + -7n3 + -1n4 = -25 + -4n + 12n2 + 7n3 + n4 + 25 + 4n + -12n2 + -7n3 + -1n4 Reorder the terms: 25 + 4n + nF + -12n2 + -7n3 + -1n4 = -25 + 25 + -4n + 4n + 12n2 + -12n2 + 7n3 + -7n3 + n4 + -1n4 Combine like terms: -25 + 25 = 0 25 + 4n + nF + -12n2 + -7n3 + -1n4 = 0 + -4n + 4n + 12n2 + -12n2 + 7n3 + -7n3 + n4 + -1n4 25 + 4n + nF + -12n2 + -7n3 + -1n4 = -4n + 4n + 12n2 + -12n2 + 7n3 + -7n3 + n4 + -1n4 Combine like terms: -4n + 4n = 0 25 + 4n + nF + -12n2 + -7n3 + -1n4 = 0 + 12n2 + -12n2 + 7n3 + -7n3 + n4 + -1n4 25 + 4n + nF + -12n2 + -7n3 + -1n4 = 12n2 + -12n2 + 7n3 + -7n3 + n4 + -1n4 Combine like terms: 12n2 + -12n2 = 0 25 + 4n + nF + -12n2 + -7n3 + -1n4 = 0 + 7n3 + -7n3 + n4 + -1n4 25 + 4n + nF + -12n2 + -7n3 + -1n4 = 7n3 + -7n3 + n4 + -1n4 Combine like terms: 7n3 + -7n3 = 0 25 + 4n + nF + -12n2 + -7n3 + -1n4 = 0 + n4 + -1n4 25 + 4n + nF + -12n2 + -7n3 + -1n4 = n4 + -1n4 Combine like terms: n4 + -1n4 = 0 25 + 4n + nF + -12n2 + -7n3 + -1n4 = 0 The solution to this equation could not be determined.
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