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Simplifying f(a + h) = x2 + -5x + 1 (a * f + h * f) = x2 + -5x + 1 (af + fh) = x2 + -5x + 1 Reorder the terms: af + fh = 1 + -5x + x2 Solving af + fh = 1 + -5x + x2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1fh' to each side of the equation. af + fh + -1fh = 1 + -5x + -1fh + x2 Combine like terms: fh + -1fh = 0 af + 0 = 1 + -5x + -1fh + x2 af = 1 + -5x + -1fh + x2 Reorder the terms: af = 1 + -1fh + -5x + x2 Divide each side by 'f'. a = f-1 + -1h + -5f-1x + f-1x2 Simplifying a = f-1 + -1h + -5f-1x + f-1x2 Reorder the terms: a = f-1 + -5f-1x + f-1x2 + -1h
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