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Simplifying f(x + y) = x2 + -10x + 1 (x * f + y * f) = x2 + -10x + 1 (fx + fy) = x2 + -10x + 1 Reorder the terms: fx + fy = 1 + -10x + x2 Solving fx + fy = 1 + -10x + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: -1 + fx + fy + 10x + -1x2 = 1 + -10x + x2 + -1 + 10x + -1x2 Reorder the terms: -1 + fx + fy + 10x + -1x2 = 1 + -1 + -10x + 10x + x2 + -1x2 Combine like terms: 1 + -1 = 0 -1 + fx + fy + 10x + -1x2 = 0 + -10x + 10x + x2 + -1x2 -1 + fx + fy + 10x + -1x2 = -10x + 10x + x2 + -1x2 Combine like terms: -10x + 10x = 0 -1 + fx + fy + 10x + -1x2 = 0 + x2 + -1x2 -1 + fx + fy + 10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1 + fx + fy + 10x + -1x2 = 0 The solution to this equation could not be determined.
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