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Simplifying (X + -3)(x + 4)(2x + 1) = 0 Reorder the terms: (-3 + X)(x + 4)(2x + 1) = 0 Reorder the terms: (-3 + X)(4 + x)(2x + 1) = 0 Reorder the terms: (-3 + X)(4 + x)(1 + 2x) = 0 Multiply (-3 + X) * (4 + x) (-3(4 + x) + X(4 + x))(1 + 2x) = 0 ((4 * -3 + x * -3) + X(4 + x))(1 + 2x) = 0 ((-12 + -3x) + X(4 + x))(1 + 2x) = 0 (-12 + -3x + (4 * X + x * X))(1 + 2x) = 0 (-12 + -3x + (4X + xX))(1 + 2x) = 0 Reorder the terms: (-12 + 4X + -3x + xX)(1 + 2x) = 0 (-12 + 4X + -3x + xX)(1 + 2x) = 0 Multiply (-12 + 4X + -3x + xX) * (1 + 2x) (-12(1 + 2x) + 4X * (1 + 2x) + -3x * (1 + 2x) + xX(1 + 2x)) = 0 ((1 * -12 + 2x * -12) + 4X * (1 + 2x) + -3x * (1 + 2x) + xX(1 + 2x)) = 0 ((-12 + -24x) + 4X * (1 + 2x) + -3x * (1 + 2x) + xX(1 + 2x)) = 0 (-12 + -24x + (1 * 4X + 2x * 4X) + -3x * (1 + 2x) + xX(1 + 2x)) = 0 (-12 + -24x + (4X + 8xX) + -3x * (1 + 2x) + xX(1 + 2x)) = 0 (-12 + -24x + 4X + 8xX + (1 * -3x + 2x * -3x) + xX(1 + 2x)) = 0 (-12 + -24x + 4X + 8xX + (-3x + -6x2) + xX(1 + 2x)) = 0 (-12 + -24x + 4X + 8xX + -3x + -6x2 + (1 * xX + 2x * xX)) = 0 (-12 + -24x + 4X + 8xX + -3x + -6x2 + (1xX + 2x2X)) = 0 Reorder the terms: (-12 + 4X + -24x + -3x + 8xX + 1xX + -6x2 + 2x2X) = 0 Combine like terms: -24x + -3x = -27x (-12 + 4X + -27x + 8xX + 1xX + -6x2 + 2x2X) = 0 Combine like terms: 8xX + 1xX = 9xX (-12 + 4X + -27x + 9xX + -6x2 + 2x2X) = 0 Solving -12 + 4X + -27x + 9xX + -6x2 + 2x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 4X + -27x + 9xX + -6x2 + 12 + 2x2X = 0 + 12 Reorder the terms: -12 + 12 + 4X + -27x + 9xX + -6x2 + 2x2X = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4X + -27x + 9xX + -6x2 + 2x2X = 0 + 12 4X + -27x + 9xX + -6x2 + 2x2X = 0 + 12 Combine like terms: 0 + 12 = 12 4X + -27x + 9xX + -6x2 + 2x2X = 12 Add '27x' to each side of the equation. 4X + -27x + 9xX + -6x2 + 27x + 2x2X = 12 + 27x Reorder the terms: 4X + -27x + 27x + 9xX + -6x2 + 2x2X = 12 + 27x Combine like terms: -27x + 27x = 0 4X + 0 + 9xX + -6x2 + 2x2X = 12 + 27x 4X + 9xX + -6x2 + 2x2X = 12 + 27x Add '6x2' to each side of the equation. 4X + 9xX + -6x2 + 6x2 + 2x2X = 12 + 27x + 6x2 Combine like terms: -6x2 + 6x2 = 0 4X + 9xX + 0 + 2x2X = 12 + 27x + 6x2 4X + 9xX + 2x2X = 12 + 27x + 6x2 Reorder the terms: -12 + 4X + -27x + 9xX + -6x2 + 2x2X = 12 + 27x + 6x2 + -12 + -27x + -6x2 Reorder the terms: -12 + 4X + -27x + 9xX + -6x2 + 2x2X = 12 + -12 + 27x + -27x + 6x2 + -6x2 Combine like terms: 12 + -12 = 0 -12 + 4X + -27x + 9xX + -6x2 + 2x2X = 0 + 27x + -27x + 6x2 + -6x2 -12 + 4X + -27x + 9xX + -6x2 + 2x2X = 27x + -27x + 6x2 + -6x2 Combine like terms: 27x + -27x = 0 -12 + 4X + -27x + 9xX + -6x2 + 2x2X = 0 + 6x2 + -6x2 -12 + 4X + -27x + 9xX + -6x2 + 2x2X = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -12 + 4X + -27x + 9xX + -6x2 + 2x2X = 0 The solution to this equation could not be determined.
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