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Simplifying f(x) = (x + -1)(x + -4) Multiply f * x fx = (x + -1)(x + -4) Reorder the terms: fx = (-1 + x)(x + -4) Reorder the terms: fx = (-1 + x)(-4 + x) Multiply (-1 + x) * (-4 + x) fx = (-1(-4 + x) + x(-4 + x)) fx = ((-4 * -1 + x * -1) + x(-4 + x)) fx = ((4 + -1x) + x(-4 + x)) fx = (4 + -1x + (-4 * x + x * x)) fx = (4 + -1x + (-4x + x2)) Combine like terms: -1x + -4x = -5x fx = (4 + -5x + x2) Solving fx = 4 + -5x + x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 4x-1 + -5 + x Simplifying f = 4x-1 + -5 + x Reorder the terms: f = -5 + 4x-1 + x
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