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Simplifying f(x) = (x + 2)(x + -4) Multiply f * x fx = (x + 2)(x + -4) Reorder the terms: fx = (2 + x)(x + -4) Reorder the terms: fx = (2 + x)(-4 + x) Multiply (2 + x) * (-4 + x) fx = (2(-4 + x) + x(-4 + x)) fx = ((-4 * 2 + x * 2) + x(-4 + x)) fx = ((-8 + 2x) + x(-4 + x)) fx = (-8 + 2x + (-4 * x + x * x)) fx = (-8 + 2x + (-4x + x2)) Combine like terms: 2x + -4x = -2x fx = (-8 + -2x + x2) Solving fx = -8 + -2x + 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 = -8x-1 + -2 + x Simplifying f = -8x-1 + -2 + x Reorder the terms: f = -2 + -8x-1 + x
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