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Simplifying (2x + 1)(1 + -2x) = 0 Reorder the terms: (1 + 2x)(1 + -2x) = 0 Multiply (1 + 2x) * (1 + -2x) (1(1 + -2x) + 2x * (1 + -2x)) = 0 ((1 * 1 + -2x * 1) + 2x * (1 + -2x)) = 0 ((1 + -2x) + 2x * (1 + -2x)) = 0 (1 + -2x + (1 * 2x + -2x * 2x)) = 0 (1 + -2x + (2x + -4x2)) = 0 Combine like terms: -2x + 2x = 0 (1 + 0 + -4x2) = 0 (1 + -4x2) = 0 Solving 1 + -4x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x2 = 0 + -1 -4x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -4x2 = -1 Divide each side by '-4'. x2 = 0.25 Simplifying x2 = 0.25 Take the square root of each side: x = {-0.5, 0.5}
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