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Simplifying f(x + 1) = x2 + 3x + -5 Reorder the terms: f(1 + x) = x2 + 3x + -5 (1 * f + x * f) = x2 + 3x + -5 (1f + fx) = x2 + 3x + -5 Reorder the terms: 1f + fx = -5 + 3x + x2 Solving 1f + fx = -5 + 3x + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: 5 + 1f + fx + -3x + -1x2 = -5 + 3x + x2 + 5 + -3x + -1x2 Reorder the terms: 5 + 1f + fx + -3x + -1x2 = -5 + 5 + 3x + -3x + x2 + -1x2 Combine like terms: -5 + 5 = 0 5 + 1f + fx + -3x + -1x2 = 0 + 3x + -3x + x2 + -1x2 5 + 1f + fx + -3x + -1x2 = 3x + -3x + x2 + -1x2 Combine like terms: 3x + -3x = 0 5 + 1f + fx + -3x + -1x2 = 0 + x2 + -1x2 5 + 1f + fx + -3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + 1f + fx + -3x + -1x2 = 0 The solution to this equation could not be determined.
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