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Simplifying (X + 4)(2x + 3) = 0 Reorder the terms: (4 + X)(2x + 3) = 0 Reorder the terms: (4 + X)(3 + 2x) = 0 Multiply (4 + X) * (3 + 2x) (4(3 + 2x) + X(3 + 2x)) = 0 ((3 * 4 + 2x * 4) + X(3 + 2x)) = 0 ((12 + 8x) + X(3 + 2x)) = 0 (12 + 8x + (3 * X + 2x * X)) = 0 (12 + 8x + (3X + 2xX)) = 0 Reorder the terms: (12 + 3X + 8x + 2xX) = 0 (12 + 3X + 8x + 2xX) = 0 Solving 12 + 3X + 8x + 2xX = 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 + 3X + 8x + -12 + 2xX = 0 + -12 Reorder the terms: 12 + -12 + 3X + 8x + 2xX = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3X + 8x + 2xX = 0 + -12 3X + 8x + 2xX = 0 + -12 Combine like terms: 0 + -12 = -12 3X + 8x + 2xX = -12 Add '-8x' to each side of the equation. 3X + 8x + -8x + 2xX = -12 + -8x Combine like terms: 8x + -8x = 0 3X + 0 + 2xX = -12 + -8x 3X + 2xX = -12 + -8x Reorder the terms: 12 + 3X + 8x + 2xX = -12 + -8x + 12 + 8x Reorder the terms: 12 + 3X + 8x + 2xX = -12 + 12 + -8x + 8x Combine like terms: -12 + 12 = 0 12 + 3X + 8x + 2xX = 0 + -8x + 8x 12 + 3X + 8x + 2xX = -8x + 8x Combine like terms: -8x + 8x = 0 12 + 3X + 8x + 2xX = 0 The solution to this equation could not be determined.
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