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Simplifying 480 = (X + 12)(X + 11)(X + -2) Reorder the terms: 480 = (12 + X)(X + 11)(X + -2) Reorder the terms: 480 = (12 + X)(11 + X)(X + -2) Reorder the terms: 480 = (12 + X)(11 + X)(-2 + X) Multiply (12 + X) * (11 + X) 480 = (12(11 + X) + X(11 + X))(-2 + X) 480 = ((11 * 12 + X * 12) + X(11 + X))(-2 + X) 480 = ((132 + 12X) + X(11 + X))(-2 + X) 480 = (132 + 12X + (11 * X + X * X))(-2 + X) 480 = (132 + 12X + (11X + X2))(-2 + X) Combine like terms: 12X + 11X = 23X 480 = (132 + 23X + X2)(-2 + X) Multiply (132 + 23X + X2) * (-2 + X) 480 = (132(-2 + X) + 23X * (-2 + X) + X2(-2 + X)) 480 = ((-2 * 132 + X * 132) + 23X * (-2 + X) + X2(-2 + X)) 480 = ((-264 + 132X) + 23X * (-2 + X) + X2(-2 + X)) 480 = (-264 + 132X + (-2 * 23X + X * 23X) + X2(-2 + X)) 480 = (-264 + 132X + (-46X + 23X2) + X2(-2 + X)) 480 = (-264 + 132X + -46X + 23X2 + (-2 * X2 + X * X2)) 480 = (-264 + 132X + -46X + 23X2 + (-2X2 + X3)) Combine like terms: 132X + -46X = 86X 480 = (-264 + 86X + 23X2 + -2X2 + X3) Combine like terms: 23X2 + -2X2 = 21X2 480 = (-264 + 86X + 21X2 + X3) Solving 480 = -264 + 86X + 21X2 + X3 Solving for variable 'X'. Combine like terms: 480 + 264 = 744 744 + -86X + -21X2 + -1X3 = -264 + 86X + 21X2 + X3 + 264 + -86X + -21X2 + -1X3 Reorder the terms: 744 + -86X + -21X2 + -1X3 = -264 + 264 + 86X + -86X + 21X2 + -21X2 + X3 + -1X3 Combine like terms: -264 + 264 = 0 744 + -86X + -21X2 + -1X3 = 0 + 86X + -86X + 21X2 + -21X2 + X3 + -1X3 744 + -86X + -21X2 + -1X3 = 86X + -86X + 21X2 + -21X2 + X3 + -1X3 Combine like terms: 86X + -86X = 0 744 + -86X + -21X2 + -1X3 = 0 + 21X2 + -21X2 + X3 + -1X3 744 + -86X + -21X2 + -1X3 = 21X2 + -21X2 + X3 + -1X3 Combine like terms: 21X2 + -21X2 = 0 744 + -86X + -21X2 + -1X3 = 0 + X3 + -1X3 744 + -86X + -21X2 + -1X3 = X3 + -1X3 Combine like terms: X3 + -1X3 = 0 744 + -86X + -21X2 + -1X3 = 0 The solution to this equation could not be determined.
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