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Simplifying (2x + 1)(X + -0.5) = 0 Reorder the terms: (1 + 2x)(X + -0.5) = 0 Reorder the terms: (1 + 2x)(-0.5 + X) = 0 Multiply (1 + 2x) * (-0.5 + X) (1(-0.5 + X) + 2x * (-0.5 + X)) = 0 ((-0.5 * 1 + X * 1) + 2x * (-0.5 + X)) = 0 ((-0.5 + 1X) + 2x * (-0.5 + X)) = 0 (-0.5 + 1X + (-0.5 * 2x + X * 2x)) = 0 (-0.5 + 1X + (-1x + 2xX)) = 0 (-0.5 + 1X + -1x + 2xX) = 0 Solving -0.5 + 1X + -1x + 2xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 1X + -1x + 0.5 + 2xX = 0 + 0.5 Reorder the terms: -0.5 + 0.5 + 1X + -1x + 2xX = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 1X + -1x + 2xX = 0 + 0.5 1X + -1x + 2xX = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 1X + -1x + 2xX = 0.5 Add 'x' to each side of the equation. 1X + -1x + x + 2xX = 0.5 + x Combine like terms: -1x + x = 0 1X + 0 + 2xX = 0.5 + x 1X + 2xX = 0.5 + x Reorder the terms: -0.5 + 1X + -1x + 2xX = 0.5 + x + -0.5 + -1x Reorder the terms: -0.5 + 1X + -1x + 2xX = 0.5 + -0.5 + x + -1x Combine like terms: 0.5 + -0.5 = 0.0 -0.5 + 1X + -1x + 2xX = 0.0 + x + -1x -0.5 + 1X + -1x + 2xX = x + -1x Combine like terms: x + -1x = 0 -0.5 + 1X + -1x + 2xX = 0 The solution to this equation could not be determined.
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