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Simplifying (X + 5)(3x + 2)(2x + -1) = 0 Reorder the terms: (5 + X)(3x + 2)(2x + -1) = 0 Reorder the terms: (5 + X)(2 + 3x)(2x + -1) = 0 Reorder the terms: (5 + X)(2 + 3x)(-1 + 2x) = 0 Multiply (5 + X) * (2 + 3x) (5(2 + 3x) + X(2 + 3x))(-1 + 2x) = 0 ((2 * 5 + 3x * 5) + X(2 + 3x))(-1 + 2x) = 0 ((10 + 15x) + X(2 + 3x))(-1 + 2x) = 0 (10 + 15x + (2 * X + 3x * X))(-1 + 2x) = 0 (10 + 15x + (2X + 3xX))(-1 + 2x) = 0 Reorder the terms: (10 + 2X + 15x + 3xX)(-1 + 2x) = 0 (10 + 2X + 15x + 3xX)(-1 + 2x) = 0 Multiply (10 + 2X + 15x + 3xX) * (-1 + 2x) (10(-1 + 2x) + 2X * (-1 + 2x) + 15x * (-1 + 2x) + 3xX * (-1 + 2x)) = 0 ((-1 * 10 + 2x * 10) + 2X * (-1 + 2x) + 15x * (-1 + 2x) + 3xX * (-1 + 2x)) = 0 ((-10 + 20x) + 2X * (-1 + 2x) + 15x * (-1 + 2x) + 3xX * (-1 + 2x)) = 0 (-10 + 20x + (-1 * 2X + 2x * 2X) + 15x * (-1 + 2x) + 3xX * (-1 + 2x)) = 0 (-10 + 20x + (-2X + 4xX) + 15x * (-1 + 2x) + 3xX * (-1 + 2x)) = 0 (-10 + 20x + -2X + 4xX + (-1 * 15x + 2x * 15x) + 3xX * (-1 + 2x)) = 0 (-10 + 20x + -2X + 4xX + (-15x + 30x2) + 3xX * (-1 + 2x)) = 0 (-10 + 20x + -2X + 4xX + -15x + 30x2 + (-1 * 3xX + 2x * 3xX)) = 0 (-10 + 20x + -2X + 4xX + -15x + 30x2 + (-3xX + 6x2X)) = 0 Reorder the terms: (-10 + -2X + 20x + -15x + 4xX + -3xX + 30x2 + 6x2X) = 0 Combine like terms: 20x + -15x = 5x (-10 + -2X + 5x + 4xX + -3xX + 30x2 + 6x2X) = 0 Combine like terms: 4xX + -3xX = 1xX (-10 + -2X + 5x + 1xX + 30x2 + 6x2X) = 0 Solving -10 + -2X + 5x + 1xX + 30x2 + 6x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -2X + 5x + 1xX + 30x2 + 10 + 6x2X = 0 + 10 Reorder the terms: -10 + 10 + -2X + 5x + 1xX + 30x2 + 6x2X = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -2X + 5x + 1xX + 30x2 + 6x2X = 0 + 10 -2X + 5x + 1xX + 30x2 + 6x2X = 0 + 10 Combine like terms: 0 + 10 = 10 -2X + 5x + 1xX + 30x2 + 6x2X = 10 Add '-5x' to each side of the equation. -2X + 5x + 1xX + 30x2 + -5x + 6x2X = 10 + -5x Reorder the terms: -2X + 5x + -5x + 1xX + 30x2 + 6x2X = 10 + -5x Combine like terms: 5x + -5x = 0 -2X + 0 + 1xX + 30x2 + 6x2X = 10 + -5x -2X + 1xX + 30x2 + 6x2X = 10 + -5x Add '-30x2' to each side of the equation. -2X + 1xX + 30x2 + -30x2 + 6x2X = 10 + -5x + -30x2 Combine like terms: 30x2 + -30x2 = 0 -2X + 1xX + 0 + 6x2X = 10 + -5x + -30x2 -2X + 1xX + 6x2X = 10 + -5x + -30x2 Reorder the terms: -10 + -2X + 5x + 1xX + 30x2 + 6x2X = 10 + -5x + -30x2 + -10 + 5x + 30x2 Reorder the terms: -10 + -2X + 5x + 1xX + 30x2 + 6x2X = 10 + -10 + -5x + 5x + -30x2 + 30x2 Combine like terms: 10 + -10 = 0 -10 + -2X + 5x + 1xX + 30x2 + 6x2X = 0 + -5x + 5x + -30x2 + 30x2 -10 + -2X + 5x + 1xX + 30x2 + 6x2X = -5x + 5x + -30x2 + 30x2 Combine like terms: -5x + 5x = 0 -10 + -2X + 5x + 1xX + 30x2 + 6x2X = 0 + -30x2 + 30x2 -10 + -2X + 5x + 1xX + 30x2 + 6x2X = -30x2 + 30x2 Combine like terms: -30x2 + 30x2 = 0 -10 + -2X + 5x + 1xX + 30x2 + 6x2X = 0 The solution to this equation could not be determined.
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