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Simplifying (X + 40)(2x + -5)(3x + -17) = 180 Reorder the terms: (40 + X)(2x + -5)(3x + -17) = 180 Reorder the terms: (40 + X)(-5 + 2x)(3x + -17) = 180 Reorder the terms: (40 + X)(-5 + 2x)(-17 + 3x) = 180 Multiply (40 + X) * (-5 + 2x) (40(-5 + 2x) + X(-5 + 2x))(-17 + 3x) = 180 ((-5 * 40 + 2x * 40) + X(-5 + 2x))(-17 + 3x) = 180 ((-200 + 80x) + X(-5 + 2x))(-17 + 3x) = 180 (-200 + 80x + (-5 * X + 2x * X))(-17 + 3x) = 180 (-200 + 80x + (-5X + 2xX))(-17 + 3x) = 180 Reorder the terms: (-200 + -5X + 80x + 2xX)(-17 + 3x) = 180 (-200 + -5X + 80x + 2xX)(-17 + 3x) = 180 Multiply (-200 + -5X + 80x + 2xX) * (-17 + 3x) (-200(-17 + 3x) + -5X * (-17 + 3x) + 80x * (-17 + 3x) + 2xX * (-17 + 3x)) = 180 ((-17 * -200 + 3x * -200) + -5X * (-17 + 3x) + 80x * (-17 + 3x) + 2xX * (-17 + 3x)) = 180 ((3400 + -600x) + -5X * (-17 + 3x) + 80x * (-17 + 3x) + 2xX * (-17 + 3x)) = 180 (3400 + -600x + (-17 * -5X + 3x * -5X) + 80x * (-17 + 3x) + 2xX * (-17 + 3x)) = 180 (3400 + -600x + (85X + -15xX) + 80x * (-17 + 3x) + 2xX * (-17 + 3x)) = 180 (3400 + -600x + 85X + -15xX + (-17 * 80x + 3x * 80x) + 2xX * (-17 + 3x)) = 180 (3400 + -600x + 85X + -15xX + (-1360x + 240x2) + 2xX * (-17 + 3x)) = 180 (3400 + -600x + 85X + -15xX + -1360x + 240x2 + (-17 * 2xX + 3x * 2xX)) = 180 (3400 + -600x + 85X + -15xX + -1360x + 240x2 + (-34xX + 6x2X)) = 180 Reorder the terms: (3400 + 85X + -600x + -1360x + -15xX + -34xX + 240x2 + 6x2X) = 180 Combine like terms: -600x + -1360x = -1960x (3400 + 85X + -1960x + -15xX + -34xX + 240x2 + 6x2X) = 180 Combine like terms: -15xX + -34xX = -49xX (3400 + 85X + -1960x + -49xX + 240x2 + 6x2X) = 180 Solving 3400 + 85X + -1960x + -49xX + 240x2 + 6x2X = 180 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3400' to each side of the equation. 3400 + 85X + -1960x + -49xX + 240x2 + -3400 + 6x2X = 180 + -3400 Reorder the terms: 3400 + -3400 + 85X + -1960x + -49xX + 240x2 + 6x2X = 180 + -3400 Combine like terms: 3400 + -3400 = 0 0 + 85X + -1960x + -49xX + 240x2 + 6x2X = 180 + -3400 85X + -1960x + -49xX + 240x2 + 6x2X = 180 + -3400 Combine like terms: 180 + -3400 = -3220 85X + -1960x + -49xX + 240x2 + 6x2X = -3220 Add '1960x' to each side of the equation. 85X + -1960x + -49xX + 240x2 + 1960x + 6x2X = -3220 + 1960x Reorder the terms: 85X + -1960x + 1960x + -49xX + 240x2 + 6x2X = -3220 + 1960x Combine like terms: -1960x + 1960x = 0 85X + 0 + -49xX + 240x2 + 6x2X = -3220 + 1960x 85X + -49xX + 240x2 + 6x2X = -3220 + 1960x Add '-240x2' to each side of the equation. 85X + -49xX + 240x2 + -240x2 + 6x2X = -3220 + 1960x + -240x2 Combine like terms: 240x2 + -240x2 = 0 85X + -49xX + 0 + 6x2X = -3220 + 1960x + -240x2 85X + -49xX + 6x2X = -3220 + 1960x + -240x2 Reorder the terms: 3220 + 85X + -1960x + -49xX + 240x2 + 6x2X = -3220 + 1960x + -240x2 + 3220 + -1960x + 240x2 Reorder the terms: 3220 + 85X + -1960x + -49xX + 240x2 + 6x2X = -3220 + 3220 + 1960x + -1960x + -240x2 + 240x2 Combine like terms: -3220 + 3220 = 0 3220 + 85X + -1960x + -49xX + 240x2 + 6x2X = 0 + 1960x + -1960x + -240x2 + 240x2 3220 + 85X + -1960x + -49xX + 240x2 + 6x2X = 1960x + -1960x + -240x2 + 240x2 Combine like terms: 1960x + -1960x = 0 3220 + 85X + -1960x + -49xX + 240x2 + 6x2X = 0 + -240x2 + 240x2 3220 + 85X + -1960x + -49xX + 240x2 + 6x2X = -240x2 + 240x2 Combine like terms: -240x2 + 240x2 = 0 3220 + 85X + -1960x + -49xX + 240x2 + 6x2X = 0 The solution to this equation could not be determined.
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