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Simplifying (X2 + x)(x + 2) = 504 Reorder the terms: (X2 + x)(2 + x) = 504 Multiply (X2 + x) * (2 + x) (X2(2 + x) + x(2 + x)) = 504 ((2 * X2 + x * X2) + x(2 + x)) = 504 ((2X2 + xX2) + x(2 + x)) = 504 (2X2 + xX2 + (2 * x + x * x)) = 504 (2X2 + xX2 + (2x + x2)) = 504 Reorder the terms: (2X2 + 2x + xX2 + x2) = 504 (2X2 + 2x + xX2 + x2) = 504 Solving 2X2 + 2x + xX2 + x2 = 504 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2x' to each side of the equation. 2X2 + 2x + xX2 + -2x + x2 = 504 + -2x Reorder the terms: 2X2 + 2x + -2x + xX2 + x2 = 504 + -2x Combine like terms: 2x + -2x = 0 2X2 + 0 + xX2 + x2 = 504 + -2x 2X2 + xX2 + x2 = 504 + -2x Add '-1x2' to each side of the equation. 2X2 + xX2 + x2 + -1x2 = 504 + -2x + -1x2 Combine like terms: x2 + -1x2 = 0 2X2 + xX2 + 0 = 504 + -2x + -1x2 2X2 + xX2 = 504 + -2x + -1x2 Reorder the terms: -504 + 2X2 + 2x + xX2 + x2 = 504 + -2x + -1x2 + -504 + 2x + x2 Reorder the terms: -504 + 2X2 + 2x + xX2 + x2 = 504 + -504 + -2x + 2x + -1x2 + x2 Combine like terms: 504 + -504 = 0 -504 + 2X2 + 2x + xX2 + x2 = 0 + -2x + 2x + -1x2 + x2 -504 + 2X2 + 2x + xX2 + x2 = -2x + 2x + -1x2 + x2 Combine like terms: -2x + 2x = 0 -504 + 2X2 + 2x + xX2 + x2 = 0 + -1x2 + x2 -504 + 2X2 + 2x + xX2 + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -504 + 2X2 + 2x + xX2 + x2 = 0 The solution to this equation could not be determined.
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