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Simplifying 9(2x + 1)(2x + -1) = 0 Reorder the terms: 9(1 + 2x)(2x + -1) = 0 Reorder the terms: 9(1 + 2x)(-1 + 2x) = 0 Multiply (1 + 2x) * (-1 + 2x) 9(1(-1 + 2x) + 2x * (-1 + 2x)) = 0 9((-1 * 1 + 2x * 1) + 2x * (-1 + 2x)) = 0 9((-1 + 2x) + 2x * (-1 + 2x)) = 0 9(-1 + 2x + (-1 * 2x + 2x * 2x)) = 0 9(-1 + 2x + (-2x + 4x2)) = 0 Combine like terms: 2x + -2x = 0 9(-1 + 0 + 4x2) = 0 9(-1 + 4x2) = 0 (-1 * 9 + 4x2 * 9) = 0 (-9 + 36x2) = 0 Solving -9 + 36x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 36x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 36x2 = 0 + 9 36x2 = 0 + 9 Combine like terms: 0 + 9 = 9 36x2 = 9 Divide each side by '36'. x2 = 0.25 Simplifying x2 = 0.25 Take the square root of each side: x = {-0.5, 0.5}
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