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Simplifying (X2 + 3x) + -1(x + 4)(3x + 8) = (3x + 8)(x + 3) Remove parenthesis around (X2 + 3x) X2 + 3x + -1(x + 4)(3x + 8) = (3x + 8)(x + 3) Reorder the terms: X2 + 3x + -1(4 + x)(3x + 8) = (3x + 8)(x + 3) Reorder the terms: X2 + 3x + -1(4 + x)(8 + 3x) = (3x + 8)(x + 3) Multiply (4 + x) * (8 + 3x) X2 + 3x + -1(4(8 + 3x) + x(8 + 3x)) = (3x + 8)(x + 3) X2 + 3x + -1((8 * 4 + 3x * 4) + x(8 + 3x)) = (3x + 8)(x + 3) X2 + 3x + -1((32 + 12x) + x(8 + 3x)) = (3x + 8)(x + 3) X2 + 3x + -1(32 + 12x + (8 * x + 3x * x)) = (3x + 8)(x + 3) X2 + 3x + -1(32 + 12x + (8x + 3x2)) = (3x + 8)(x + 3) Combine like terms: 12x + 8x = 20x X2 + 3x + -1(32 + 20x + 3x2) = (3x + 8)(x + 3) X2 + 3x + (32 * -1 + 20x * -1 + 3x2 * -1) = (3x + 8)(x + 3) X2 + 3x + (-32 + -20x + -3x2) = (3x + 8)(x + 3) Reorder the terms: -32 + X2 + 3x + -20x + -3x2 = (3x + 8)(x + 3) Combine like terms: 3x + -20x = -17x -32 + X2 + -17x + -3x2 = (3x + 8)(x + 3) Reorder the terms: -32 + X2 + -17x + -3x2 = (8 + 3x)(x + 3) Reorder the terms: -32 + X2 + -17x + -3x2 = (8 + 3x)(3 + x) Multiply (8 + 3x) * (3 + x) -32 + X2 + -17x + -3x2 = (8(3 + x) + 3x * (3 + x)) -32 + X2 + -17x + -3x2 = ((3 * 8 + x * 8) + 3x * (3 + x)) -32 + X2 + -17x + -3x2 = ((24 + 8x) + 3x * (3 + x)) -32 + X2 + -17x + -3x2 = (24 + 8x + (3 * 3x + x * 3x)) -32 + X2 + -17x + -3x2 = (24 + 8x + (9x + 3x2)) Combine like terms: 8x + 9x = 17x -32 + X2 + -17x + -3x2 = (24 + 17x + 3x2) Solving -32 + X2 + -17x + -3x2 = 24 + 17x + 3x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '32' to each side of the equation. -32 + X2 + -17x + 32 + -3x2 = 24 + 17x + 32 + 3x2 Reorder the terms: -32 + 32 + X2 + -17x + -3x2 = 24 + 17x + 32 + 3x2 Combine like terms: -32 + 32 = 0 0 + X2 + -17x + -3x2 = 24 + 17x + 32 + 3x2 X2 + -17x + -3x2 = 24 + 17x + 32 + 3x2 Reorder the terms: X2 + -17x + -3x2 = 24 + 32 + 17x + 3x2 Combine like terms: 24 + 32 = 56 X2 + -17x + -3x2 = 56 + 17x + 3x2 Add '17x' to each side of the equation. X2 + -17x + 17x + -3x2 = 56 + 17x + 17x + 3x2 Combine like terms: -17x + 17x = 0 X2 + 0 + -3x2 = 56 + 17x + 17x + 3x2 X2 + -3x2 = 56 + 17x + 17x + 3x2 Combine like terms: 17x + 17x = 34x X2 + -3x2 = 56 + 34x + 3x2 Add '3x2' to each side of the equation. X2 + -3x2 + 3x2 = 56 + 34x + 3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 X2 + 0 = 56 + 34x + 3x2 + 3x2 X2 = 56 + 34x + 3x2 + 3x2 Combine like terms: 3x2 + 3x2 = 6x2 X2 = 56 + 34x + 6x2 Simplifying X2 = 56 + 34x + 6x2 Reorder the terms: -56 + X2 + -34x + -6x2 = 56 + 34x + 6x2 + -56 + -34x + -6x2 Reorder the terms: -56 + X2 + -34x + -6x2 = 56 + -56 + 34x + -34x + 6x2 + -6x2 Combine like terms: 56 + -56 = 0 -56 + X2 + -34x + -6x2 = 0 + 34x + -34x + 6x2 + -6x2 -56 + X2 + -34x + -6x2 = 34x + -34x + 6x2 + -6x2 Combine like terms: 34x + -34x = 0 -56 + X2 + -34x + -6x2 = 0 + 6x2 + -6x2 -56 + X2 + -34x + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -56 + X2 + -34x + -6x2 = 0 The solution to this equation could not be determined.
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