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Simplifying f(x + 1) = 4x2 + 7x + -5 Reorder the terms: f(1 + x) = 4x2 + 7x + -5 (1 * f + x * f) = 4x2 + 7x + -5 (1f + fx) = 4x2 + 7x + -5 Reorder the terms: 1f + fx = -5 + 7x + 4x2 Solving 1f + fx = -5 + 7x + 4x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: 5 + 1f + fx + -7x + -4x2 = -5 + 7x + 4x2 + 5 + -7x + -4x2 Reorder the terms: 5 + 1f + fx + -7x + -4x2 = -5 + 5 + 7x + -7x + 4x2 + -4x2 Combine like terms: -5 + 5 = 0 5 + 1f + fx + -7x + -4x2 = 0 + 7x + -7x + 4x2 + -4x2 5 + 1f + fx + -7x + -4x2 = 7x + -7x + 4x2 + -4x2 Combine like terms: 7x + -7x = 0 5 + 1f + fx + -7x + -4x2 = 0 + 4x2 + -4x2 5 + 1f + fx + -7x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 5 + 1f + fx + -7x + -4x2 = 0 The solution to this equation could not be determined.
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