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Simplifying (X + 8)(2x + -3) = 0 Reorder the terms: (8 + X)(2x + -3) = 0 Reorder the terms: (8 + X)(-3 + 2x) = 0 Multiply (8 + X) * (-3 + 2x) (8(-3 + 2x) + X(-3 + 2x)) = 0 ((-3 * 8 + 2x * 8) + X(-3 + 2x)) = 0 ((-24 + 16x) + X(-3 + 2x)) = 0 (-24 + 16x + (-3 * X + 2x * X)) = 0 (-24 + 16x + (-3X + 2xX)) = 0 Reorder the terms: (-24 + -3X + 16x + 2xX) = 0 (-24 + -3X + 16x + 2xX) = 0 Solving -24 + -3X + 16x + 2xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -3X + 16x + 24 + 2xX = 0 + 24 Reorder the terms: -24 + 24 + -3X + 16x + 2xX = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -3X + 16x + 2xX = 0 + 24 -3X + 16x + 2xX = 0 + 24 Combine like terms: 0 + 24 = 24 -3X + 16x + 2xX = 24 Add '-16x' to each side of the equation. -3X + 16x + -16x + 2xX = 24 + -16x Combine like terms: 16x + -16x = 0 -3X + 0 + 2xX = 24 + -16x -3X + 2xX = 24 + -16x Reorder the terms: -24 + -3X + 16x + 2xX = 24 + -16x + -24 + 16x Reorder the terms: -24 + -3X + 16x + 2xX = 24 + -24 + -16x + 16x Combine like terms: 24 + -24 = 0 -24 + -3X + 16x + 2xX = 0 + -16x + 16x -24 + -3X + 16x + 2xX = -16x + 16x Combine like terms: -16x + 16x = 0 -24 + -3X + 16x + 2xX = 0 The solution to this equation could not be determined.
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