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Simplifying (8x + 3)(8x + -3) = 0 Reorder the terms: (3 + 8x)(8x + -3) = 0 Reorder the terms: (3 + 8x)(-3 + 8x) = 0 Multiply (3 + 8x) * (-3 + 8x) (3(-3 + 8x) + 8x * (-3 + 8x)) = 0 ((-3 * 3 + 8x * 3) + 8x * (-3 + 8x)) = 0 ((-9 + 24x) + 8x * (-3 + 8x)) = 0 (-9 + 24x + (-3 * 8x + 8x * 8x)) = 0 (-9 + 24x + (-24x + 64x2)) = 0 Combine like terms: 24x + -24x = 0 (-9 + 0 + 64x2) = 0 (-9 + 64x2) = 0 Solving -9 + 64x2 = 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 + 64x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 64x2 = 0 + 9 64x2 = 0 + 9 Combine like terms: 0 + 9 = 9 64x2 = 9 Divide each side by '64'. x2 = 0.140625 Simplifying x2 = 0.140625 Take the square root of each side: x = {-0.375, 0.375}
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