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Simplifying f(a + 1) = x2 + -10x + -49 Reorder the terms: f(1 + a) = x2 + -10x + -49 (1 * f + a * f) = x2 + -10x + -49 Reorder the terms: (af + 1f) = x2 + -10x + -49 (af + 1f) = x2 + -10x + -49 Reorder the terms: af + 1f = -49 + -10x + x2 Solving af + 1f = -49 + -10x + x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1f' to each side of the equation. af + 1f + -1f = -49 + -10x + -1f + x2 Combine like terms: 1f + -1f = 0 af + 0 = -49 + -10x + -1f + x2 af = -49 + -10x + -1f + x2 Reorder the terms: af = -49 + -1f + -10x + x2 Divide each side by 'f'. a = -49f-1 + -1 + -10f-1x + f-1x2 Simplifying a = -49f-1 + -1 + -10f-1x + f-1x2 Reorder the terms: a = -1 + -49f-1 + -10f-1x + f-1x2
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