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Simplifying F(x + 1) = 2x2 + 4x + -1 Reorder the terms: F(1 + x) = 2x2 + 4x + -1 (1 * F + x * F) = 2x2 + 4x + -1 (1F + xF) = 2x2 + 4x + -1 Reorder the terms: 1F + xF = -1 + 4x + 2x2 Solving 1F + xF = -1 + 4x + 2x2 Solving for variable 'F'. Move all terms containing F to the left, all other terms to the right. Reorder the terms: 1 + 1F + -4x + xF + -2x2 = -1 + 4x + 2x2 + 1 + -4x + -2x2 Reorder the terms: 1 + 1F + -4x + xF + -2x2 = -1 + 1 + 4x + -4x + 2x2 + -2x2 Combine like terms: -1 + 1 = 0 1 + 1F + -4x + xF + -2x2 = 0 + 4x + -4x + 2x2 + -2x2 1 + 1F + -4x + xF + -2x2 = 4x + -4x + 2x2 + -2x2 Combine like terms: 4x + -4x = 0 1 + 1F + -4x + xF + -2x2 = 0 + 2x2 + -2x2 1 + 1F + -4x + xF + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 1 + 1F + -4x + xF + -2x2 = 0 The solution to this equation could not be determined.
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