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Simplifying (X + 5)(2x + 3) = 0 Reorder the terms: (5 + X)(2x + 3) = 0 Reorder the terms: (5 + X)(3 + 2x) = 0 Multiply (5 + X) * (3 + 2x) (5(3 + 2x) + X(3 + 2x)) = 0 ((3 * 5 + 2x * 5) + X(3 + 2x)) = 0 ((15 + 10x) + X(3 + 2x)) = 0 (15 + 10x + (3 * X + 2x * X)) = 0 (15 + 10x + (3X + 2xX)) = 0 Reorder the terms: (15 + 3X + 10x + 2xX) = 0 (15 + 3X + 10x + 2xX) = 0 Solving 15 + 3X + 10x + 2xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 3X + 10x + -15 + 2xX = 0 + -15 Reorder the terms: 15 + -15 + 3X + 10x + 2xX = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 3X + 10x + 2xX = 0 + -15 3X + 10x + 2xX = 0 + -15 Combine like terms: 0 + -15 = -15 3X + 10x + 2xX = -15 Add '-10x' to each side of the equation. 3X + 10x + -10x + 2xX = -15 + -10x Combine like terms: 10x + -10x = 0 3X + 0 + 2xX = -15 + -10x 3X + 2xX = -15 + -10x Reorder the terms: 15 + 3X + 10x + 2xX = -15 + -10x + 15 + 10x Reorder the terms: 15 + 3X + 10x + 2xX = -15 + 15 + -10x + 10x Combine like terms: -15 + 15 = 0 15 + 3X + 10x + 2xX = 0 + -10x + 10x 15 + 3X + 10x + 2xX = -10x + 10x Combine like terms: -10x + 10x = 0 15 + 3X + 10x + 2xX = 0 The solution to this equation could not be determined.
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