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Simplifying f(x + 1) = 4x2 + 2x + -8 Reorder the terms: f(1 + x) = 4x2 + 2x + -8 (1 * f + x * f) = 4x2 + 2x + -8 (1f + fx) = 4x2 + 2x + -8 Reorder the terms: 1f + fx = -8 + 2x + 4x2 Solving 1f + fx = -8 + 2x + 4x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: 8 + 1f + fx + -2x + -4x2 = -8 + 2x + 4x2 + 8 + -2x + -4x2 Reorder the terms: 8 + 1f + fx + -2x + -4x2 = -8 + 8 + 2x + -2x + 4x2 + -4x2 Combine like terms: -8 + 8 = 0 8 + 1f + fx + -2x + -4x2 = 0 + 2x + -2x + 4x2 + -4x2 8 + 1f + fx + -2x + -4x2 = 2x + -2x + 4x2 + -4x2 Combine like terms: 2x + -2x = 0 8 + 1f + fx + -2x + -4x2 = 0 + 4x2 + -4x2 8 + 1f + fx + -2x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 8 + 1f + fx + -2x + -4x2 = 0 The solution to this equation could not be determined.
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