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Simplifying (X2 + 6x + 8)(x2 + 14x + 48) = 0 Reorder the terms: (8 + X2 + 6x)(x2 + 14x + 48) = 0 Reorder the terms: (8 + X2 + 6x)(48 + 14x + x2) = 0 Multiply (8 + X2 + 6x) * (48 + 14x + x2) (8(48 + 14x + x2) + X2(48 + 14x + x2) + 6x * (48 + 14x + x2)) = 0 ((48 * 8 + 14x * 8 + x2 * 8) + X2(48 + 14x + x2) + 6x * (48 + 14x + x2)) = 0 ((384 + 112x + 8x2) + X2(48 + 14x + x2) + 6x * (48 + 14x + x2)) = 0 (384 + 112x + 8x2 + (48 * X2 + 14x * X2 + x2 * X2) + 6x * (48 + 14x + x2)) = 0 (384 + 112x + 8x2 + (48X2 + 14xX2 + x2X2) + 6x * (48 + 14x + x2)) = 0 (384 + 112x + 8x2 + 48X2 + 14xX2 + x2X2 + (48 * 6x + 14x * 6x + x2 * 6x)) = 0 (384 + 112x + 8x2 + 48X2 + 14xX2 + x2X2 + (288x + 84x2 + 6x3)) = 0 Reorder the terms: (384 + 48X2 + 112x + 288x + 14xX2 + 8x2 + 84x2 + x2X2 + 6x3) = 0 Combine like terms: 112x + 288x = 400x (384 + 48X2 + 400x + 14xX2 + 8x2 + 84x2 + x2X2 + 6x3) = 0 Combine like terms: 8x2 + 84x2 = 92x2 (384 + 48X2 + 400x + 14xX2 + 92x2 + x2X2 + 6x3) = 0 Solving 384 + 48X2 + 400x + 14xX2 + 92x2 + x2X2 + 6x3 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-384' to each side of the equation. 384 + 48X2 + 400x + 14xX2 + 92x2 + x2X2 + -384 + 6x3 = 0 + -384 Reorder the terms: 384 + -384 + 48X2 + 400x + 14xX2 + 92x2 + x2X2 + 6x3 = 0 + -384 Combine like terms: 384 + -384 = 0 0 + 48X2 + 400x + 14xX2 + 92x2 + x2X2 + 6x3 = 0 + -384 48X2 + 400x + 14xX2 + 92x2 + x2X2 + 6x3 = 0 + -384 Combine like terms: 0 + -384 = -384 48X2 + 400x + 14xX2 + 92x2 + x2X2 + 6x3 = -384 Add '-400x' to each side of the equation. 48X2 + 400x + 14xX2 + 92x2 + x2X2 + -400x + 6x3 = -384 + -400x Reorder the terms: 48X2 + 400x + -400x + 14xX2 + 92x2 + x2X2 + 6x3 = -384 + -400x Combine like terms: 400x + -400x = 0 48X2 + 0 + 14xX2 + 92x2 + x2X2 + 6x3 = -384 + -400x 48X2 + 14xX2 + 92x2 + x2X2 + 6x3 = -384 + -400x Add '-92x2' to each side of the equation. 48X2 + 14xX2 + 92x2 + x2X2 + -92x2 + 6x3 = -384 + -400x + -92x2 Reorder the terms: 48X2 + 14xX2 + 92x2 + -92x2 + x2X2 + 6x3 = -384 + -400x + -92x2 Combine like terms: 92x2 + -92x2 = 0 48X2 + 14xX2 + 0 + x2X2 + 6x3 = -384 + -400x + -92x2 48X2 + 14xX2 + x2X2 + 6x3 = -384 + -400x + -92x2 Add '-6x3' to each side of the equation. 48X2 + 14xX2 + x2X2 + 6x3 + -6x3 = -384 + -400x + -92x2 + -6x3 Combine like terms: 6x3 + -6x3 = 0 48X2 + 14xX2 + x2X2 + 0 = -384 + -400x + -92x2 + -6x3 48X2 + 14xX2 + x2X2 = -384 + -400x + -92x2 + -6x3 Reorder the terms: 384 + 48X2 + 400x + 14xX2 + 92x2 + x2X2 + 6x3 = -384 + -400x + -92x2 + -6x3 + 384 + 400x + 92x2 + 6x3 Reorder the terms: 384 + 48X2 + 400x + 14xX2 + 92x2 + x2X2 + 6x3 = -384 + 384 + -400x + 400x + -92x2 + 92x2 + -6x3 + 6x3 Combine like terms: -384 + 384 = 0 384 + 48X2 + 400x + 14xX2 + 92x2 + x2X2 + 6x3 = 0 + -400x + 400x + -92x2 + 92x2 + -6x3 + 6x3 384 + 48X2 + 400x + 14xX2 + 92x2 + x2X2 + 6x3 = -400x + 400x + -92x2 + 92x2 + -6x3 + 6x3 Combine like terms: -400x + 400x = 0 384 + 48X2 + 400x + 14xX2 + 92x2 + x2X2 + 6x3 = 0 + -92x2 + 92x2 + -6x3 + 6x3 384 + 48X2 + 400x + 14xX2 + 92x2 + x2X2 + 6x3 = -92x2 + 92x2 + -6x3 + 6x3 Combine like terms: -92x2 + 92x2 = 0 384 + 48X2 + 400x + 14xX2 + 92x2 + x2X2 + 6x3 = 0 + -6x3 + 6x3 384 + 48X2 + 400x + 14xX2 + 92x2 + x2X2 + 6x3 = -6x3 + 6x3 Combine like terms: -6x3 + 6x3 = 0 384 + 48X2 + 400x + 14xX2 + 92x2 + x2X2 + 6x3 = 0 The solution to this equation could not be determined.
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