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Simplifying (x + 3)(X2 + 5x + 7) = 0 Reorder the terms: (3 + x)(X2 + 5x + 7) = 0 Reorder the terms: (3 + x)(7 + X2 + 5x) = 0 Multiply (3 + x) * (7 + X2 + 5x) (3(7 + X2 + 5x) + x(7 + X2 + 5x)) = 0 ((7 * 3 + X2 * 3 + 5x * 3) + x(7 + X2 + 5x)) = 0 ((21 + 3X2 + 15x) + x(7 + X2 + 5x)) = 0 (21 + 3X2 + 15x + (7 * x + X2 * x + 5x * x)) = 0 (21 + 3X2 + 15x + (7x + xX2 + 5x2)) = 0 Combine like terms: 15x + 7x = 22x (21 + 3X2 + 22x + xX2 + 5x2) = 0 Solving 21 + 3X2 + 22x + xX2 + 5x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 3X2 + 22x + xX2 + -21 + 5x2 = 0 + -21 Reorder the terms: 21 + -21 + 3X2 + 22x + xX2 + 5x2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 3X2 + 22x + xX2 + 5x2 = 0 + -21 3X2 + 22x + xX2 + 5x2 = 0 + -21 Combine like terms: 0 + -21 = -21 3X2 + 22x + xX2 + 5x2 = -21 Add '-22x' to each side of the equation. 3X2 + 22x + xX2 + -22x + 5x2 = -21 + -22x Reorder the terms: 3X2 + 22x + -22x + xX2 + 5x2 = -21 + -22x Combine like terms: 22x + -22x = 0 3X2 + 0 + xX2 + 5x2 = -21 + -22x 3X2 + xX2 + 5x2 = -21 + -22x Add '-5x2' to each side of the equation. 3X2 + xX2 + 5x2 + -5x2 = -21 + -22x + -5x2 Combine like terms: 5x2 + -5x2 = 0 3X2 + xX2 + 0 = -21 + -22x + -5x2 3X2 + xX2 = -21 + -22x + -5x2 Reorder the terms: 21 + 3X2 + 22x + xX2 + 5x2 = -21 + -22x + -5x2 + 21 + 22x + 5x2 Reorder the terms: 21 + 3X2 + 22x + xX2 + 5x2 = -21 + 21 + -22x + 22x + -5x2 + 5x2 Combine like terms: -21 + 21 = 0 21 + 3X2 + 22x + xX2 + 5x2 = 0 + -22x + 22x + -5x2 + 5x2 21 + 3X2 + 22x + xX2 + 5x2 = -22x + 22x + -5x2 + 5x2 Combine like terms: -22x + 22x = 0 21 + 3X2 + 22x + xX2 + 5x2 = 0 + -5x2 + 5x2 21 + 3X2 + 22x + xX2 + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 21 + 3X2 + 22x + xX2 + 5x2 = 0 The solution to this equation could not be determined.
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