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Simplifying (2x + 9)(2x + -9) = 0 Reorder the terms: (9 + 2x)(2x + -9) = 0 Reorder the terms: (9 + 2x)(-9 + 2x) = 0 Multiply (9 + 2x) * (-9 + 2x) (9(-9 + 2x) + 2x * (-9 + 2x)) = 0 ((-9 * 9 + 2x * 9) + 2x * (-9 + 2x)) = 0 ((-81 + 18x) + 2x * (-9 + 2x)) = 0 (-81 + 18x + (-9 * 2x + 2x * 2x)) = 0 (-81 + 18x + (-18x + 4x2)) = 0 Combine like terms: 18x + -18x = 0 (-81 + 0 + 4x2) = 0 (-81 + 4x2) = 0 Solving -81 + 4x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 4x2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 4x2 = 0 + 81 4x2 = 0 + 81 Combine like terms: 0 + 81 = 81 4x2 = 81 Divide each side by '4'. x2 = 20.25 Simplifying x2 = 20.25 Take the square root of each side: x = {-4.5, 4.5}
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