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Simplifying (8x + 9)(8x + -9) = 0 Reorder the terms: (9 + 8x)(8x + -9) = 0 Reorder the terms: (9 + 8x)(-9 + 8x) = 0 Multiply (9 + 8x) * (-9 + 8x) (9(-9 + 8x) + 8x * (-9 + 8x)) = 0 ((-9 * 9 + 8x * 9) + 8x * (-9 + 8x)) = 0 ((-81 + 72x) + 8x * (-9 + 8x)) = 0 (-81 + 72x + (-9 * 8x + 8x * 8x)) = 0 (-81 + 72x + (-72x + 64x2)) = 0 Combine like terms: 72x + -72x = 0 (-81 + 0 + 64x2) = 0 (-81 + 64x2) = 0 Solving -81 + 64x2 = 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 + 64x2 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 64x2 = 0 + 81 64x2 = 0 + 81 Combine like terms: 0 + 81 = 81 64x2 = 81 Divide each side by '64'. x2 = 1.265625 Simplifying x2 = 1.265625 Take the square root of each side: x = {-1.125, 1.125}
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