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Simplifying fx = (x + 5)(x + 2)(x + -3) Reorder the terms: fx = (5 + x)(x + 2)(x + -3) Reorder the terms: fx = (5 + x)(2 + x)(x + -3) Reorder the terms: fx = (5 + x)(2 + x)(-3 + x) Multiply (5 + x) * (2 + x) fx = (5(2 + x) + x(2 + x))(-3 + x) fx = ((2 * 5 + x * 5) + x(2 + x))(-3 + x) fx = ((10 + 5x) + x(2 + x))(-3 + x) fx = (10 + 5x + (2 * x + x * x))(-3 + x) fx = (10 + 5x + (2x + x2))(-3 + x) Combine like terms: 5x + 2x = 7x fx = (10 + 7x + x2)(-3 + x) Multiply (10 + 7x + x2) * (-3 + x) fx = (10(-3 + x) + 7x * (-3 + x) + x2(-3 + x)) fx = ((-3 * 10 + x * 10) + 7x * (-3 + x) + x2(-3 + x)) fx = ((-30 + 10x) + 7x * (-3 + x) + x2(-3 + x)) fx = (-30 + 10x + (-3 * 7x + x * 7x) + x2(-3 + x)) fx = (-30 + 10x + (-21x + 7x2) + x2(-3 + x)) fx = (-30 + 10x + -21x + 7x2 + (-3 * x2 + x * x2)) fx = (-30 + 10x + -21x + 7x2 + (-3x2 + x3)) Combine like terms: 10x + -21x = -11x fx = (-30 + -11x + 7x2 + -3x2 + x3) Combine like terms: 7x2 + -3x2 = 4x2 fx = (-30 + -11x + 4x2 + x3) Solving fx = -30 + -11x + 4x2 + x3 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'x'. f = -30x-1 + -11 + 4x + x2 Simplifying f = -30x-1 + -11 + 4x + x2 Reorder the terms: f = -11 + -30x-1 + 4x + x2
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