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