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Simplifying F(3) = (8 + -3x)(x2 + -2x + -15) Reorder the terms for easier multiplication: 3F = (8 + -3x)(x2 + -2x + -15) Reorder the terms: 3F = (8 + -3x)(-15 + -2x + x2) Multiply (8 + -3x) * (-15 + -2x + x2) 3F = (8(-15 + -2x + x2) + -3x * (-15 + -2x + x2)) 3F = ((-15 * 8 + -2x * 8 + x2 * 8) + -3x * (-15 + -2x + x2)) 3F = ((-120 + -16x + 8x2) + -3x * (-15 + -2x + x2)) 3F = (-120 + -16x + 8x2 + (-15 * -3x + -2x * -3x + x2 * -3x)) 3F = (-120 + -16x + 8x2 + (45x + 6x2 + -3x3)) Reorder the terms: 3F = (-120 + -16x + 45x + 8x2 + 6x2 + -3x3) Combine like terms: -16x + 45x = 29x 3F = (-120 + 29x + 8x2 + 6x2 + -3x3) Combine like terms: 8x2 + 6x2 = 14x2 3F = (-120 + 29x + 14x2 + -3x3) Solving 3F = -120 + 29x + 14x2 + -3x3 Solving for variable 'F'. Move all terms containing F to the left, all other terms to the right. Divide each side by '3'. F = -40 + 9.666666667x + 4.666666667x2 + -1x3 Simplifying F = -40 + 9.666666667x + 4.666666667x2 + -1x3
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