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Simplifying X(2x + 1) + 4(2x + 1) = 0 Reorder the terms: X(1 + 2x) + 4(2x + 1) = 0 (1 * X + 2x * X) + 4(2x + 1) = 0 (1X + 2xX) + 4(2x + 1) = 0 Reorder the terms: 1X + 2xX + 4(1 + 2x) = 0 1X + 2xX + (1 * 4 + 2x * 4) = 0 1X + 2xX + (4 + 8x) = 0 Reorder the terms: 4 + 1X + 8x + 2xX = 0 Solving 4 + 1X + 8x + 2xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 1X + 8x + -4 + 2xX = 0 + -4 Reorder the terms: 4 + -4 + 1X + 8x + 2xX = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1X + 8x + 2xX = 0 + -4 1X + 8x + 2xX = 0 + -4 Combine like terms: 0 + -4 = -4 1X + 8x + 2xX = -4 Add '-8x' to each side of the equation. 1X + 8x + -8x + 2xX = -4 + -8x Combine like terms: 8x + -8x = 0 1X + 0 + 2xX = -4 + -8x 1X + 2xX = -4 + -8x Reorder the terms: 4 + 1X + 8x + 2xX = -4 + -8x + 4 + 8x Reorder the terms: 4 + 1X + 8x + 2xX = -4 + 4 + -8x + 8x Combine like terms: -4 + 4 = 0 4 + 1X + 8x + 2xX = 0 + -8x + 8x 4 + 1X + 8x + 2xX = -8x + 8x Combine like terms: -8x + 8x = 0 4 + 1X + 8x + 2xX = 0 The solution to this equation could not be determined.
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