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Simplifying f(x) = (6x + -3)(x + -3)(4 + -1x) Multiply f * x fx = (6x + -3)(x + -3)(4 + -1x) Reorder the terms: fx = (-3 + 6x)(x + -3)(4 + -1x) Reorder the terms: fx = (-3 + 6x)(-3 + x)(4 + -1x) Multiply (-3 + 6x) * (-3 + x) fx = (-3(-3 + x) + 6x * (-3 + x))(4 + -1x) fx = ((-3 * -3 + x * -3) + 6x * (-3 + x))(4 + -1x) fx = ((9 + -3x) + 6x * (-3 + x))(4 + -1x) fx = (9 + -3x + (-3 * 6x + x * 6x))(4 + -1x) fx = (9 + -3x + (-18x + 6x2))(4 + -1x) Combine like terms: -3x + -18x = -21x fx = (9 + -21x + 6x2)(4 + -1x) Multiply (9 + -21x + 6x2) * (4 + -1x) fx = (9(4 + -1x) + -21x * (4 + -1x) + 6x2 * (4 + -1x)) fx = ((4 * 9 + -1x * 9) + -21x * (4 + -1x) + 6x2 * (4 + -1x)) fx = ((36 + -9x) + -21x * (4 + -1x) + 6x2 * (4 + -1x)) fx = (36 + -9x + (4 * -21x + -1x * -21x) + 6x2 * (4 + -1x)) fx = (36 + -9x + (-84x + 21x2) + 6x2 * (4 + -1x)) fx = (36 + -9x + -84x + 21x2 + (4 * 6x2 + -1x * 6x2)) fx = (36 + -9x + -84x + 21x2 + (24x2 + -6x3)) Combine like terms: -9x + -84x = -93x fx = (36 + -93x + 21x2 + 24x2 + -6x3) Combine like terms: 21x2 + 24x2 = 45x2 fx = (36 + -93x + 45x2 + -6x3) Solving fx = 36 + -93x + 45x2 + -6x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = 36x-1 + -93 + 45x + -6x2 Simplifying f = 36x-1 + -93 + 45x + -6x2 Reorder the terms: f = -93 + 36x-1 + 45x + -6x2
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