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Simplifying (X + -5)(2x + -3)(x + 4) = 0 Reorder the terms: (-5 + X)(2x + -3)(x + 4) = 0 Reorder the terms: (-5 + X)(-3 + 2x)(x + 4) = 0 Reorder the terms: (-5 + X)(-3 + 2x)(4 + x) = 0 Multiply (-5 + X) * (-3 + 2x) (-5(-3 + 2x) + X(-3 + 2x))(4 + x) = 0 ((-3 * -5 + 2x * -5) + X(-3 + 2x))(4 + x) = 0 ((15 + -10x) + X(-3 + 2x))(4 + x) = 0 (15 + -10x + (-3 * X + 2x * X))(4 + x) = 0 (15 + -10x + (-3X + 2xX))(4 + x) = 0 Reorder the terms: (15 + -3X + -10x + 2xX)(4 + x) = 0 (15 + -3X + -10x + 2xX)(4 + x) = 0 Multiply (15 + -3X + -10x + 2xX) * (4 + x) (15(4 + x) + -3X * (4 + x) + -10x * (4 + x) + 2xX * (4 + x)) = 0 ((4 * 15 + x * 15) + -3X * (4 + x) + -10x * (4 + x) + 2xX * (4 + x)) = 0 ((60 + 15x) + -3X * (4 + x) + -10x * (4 + x) + 2xX * (4 + x)) = 0 (60 + 15x + (4 * -3X + x * -3X) + -10x * (4 + x) + 2xX * (4 + x)) = 0 (60 + 15x + (-12X + -3xX) + -10x * (4 + x) + 2xX * (4 + x)) = 0 (60 + 15x + -12X + -3xX + (4 * -10x + x * -10x) + 2xX * (4 + x)) = 0 (60 + 15x + -12X + -3xX + (-40x + -10x2) + 2xX * (4 + x)) = 0 (60 + 15x + -12X + -3xX + -40x + -10x2 + (4 * 2xX + x * 2xX)) = 0 (60 + 15x + -12X + -3xX + -40x + -10x2 + (8xX + 2x2X)) = 0 Reorder the terms: (60 + -12X + 15x + -40x + -3xX + 8xX + -10x2 + 2x2X) = 0 Combine like terms: 15x + -40x = -25x (60 + -12X + -25x + -3xX + 8xX + -10x2 + 2x2X) = 0 Combine like terms: -3xX + 8xX = 5xX (60 + -12X + -25x + 5xX + -10x2 + 2x2X) = 0 Solving 60 + -12X + -25x + 5xX + -10x2 + 2x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -12X + -25x + 5xX + -10x2 + -60 + 2x2X = 0 + -60 Reorder the terms: 60 + -60 + -12X + -25x + 5xX + -10x2 + 2x2X = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -12X + -25x + 5xX + -10x2 + 2x2X = 0 + -60 -12X + -25x + 5xX + -10x2 + 2x2X = 0 + -60 Combine like terms: 0 + -60 = -60 -12X + -25x + 5xX + -10x2 + 2x2X = -60 Add '25x' to each side of the equation. -12X + -25x + 5xX + -10x2 + 25x + 2x2X = -60 + 25x Reorder the terms: -12X + -25x + 25x + 5xX + -10x2 + 2x2X = -60 + 25x Combine like terms: -25x + 25x = 0 -12X + 0 + 5xX + -10x2 + 2x2X = -60 + 25x -12X + 5xX + -10x2 + 2x2X = -60 + 25x Add '10x2' to each side of the equation. -12X + 5xX + -10x2 + 10x2 + 2x2X = -60 + 25x + 10x2 Combine like terms: -10x2 + 10x2 = 0 -12X + 5xX + 0 + 2x2X = -60 + 25x + 10x2 -12X + 5xX + 2x2X = -60 + 25x + 10x2 Reorder the terms: 60 + -12X + -25x + 5xX + -10x2 + 2x2X = -60 + 25x + 10x2 + 60 + -25x + -10x2 Reorder the terms: 60 + -12X + -25x + 5xX + -10x2 + 2x2X = -60 + 60 + 25x + -25x + 10x2 + -10x2 Combine like terms: -60 + 60 = 0 60 + -12X + -25x + 5xX + -10x2 + 2x2X = 0 + 25x + -25x + 10x2 + -10x2 60 + -12X + -25x + 5xX + -10x2 + 2x2X = 25x + -25x + 10x2 + -10x2 Combine like terms: 25x + -25x = 0 60 + -12X + -25x + 5xX + -10x2 + 2x2X = 0 + 10x2 + -10x2 60 + -12X + -25x + 5xX + -10x2 + 2x2X = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 60 + -12X + -25x + 5xX + -10x2 + 2x2X = 0 The solution to this equation could not be determined.
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