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Simplifying (8x + 2)(8x + -2) = 0 Reorder the terms: (2 + 8x)(8x + -2) = 0 Reorder the terms: (2 + 8x)(-2 + 8x) = 0 Multiply (2 + 8x) * (-2 + 8x) (2(-2 + 8x) + 8x * (-2 + 8x)) = 0 ((-2 * 2 + 8x * 2) + 8x * (-2 + 8x)) = 0 ((-4 + 16x) + 8x * (-2 + 8x)) = 0 (-4 + 16x + (-2 * 8x + 8x * 8x)) = 0 (-4 + 16x + (-16x + 64x2)) = 0 Combine like terms: 16x + -16x = 0 (-4 + 0 + 64x2) = 0 (-4 + 64x2) = 0 Solving -4 + 64x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 64x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 64x2 = 0 + 4 64x2 = 0 + 4 Combine like terms: 0 + 4 = 4 64x2 = 4 Divide each side by '64'. x2 = 0.0625 Simplifying x2 = 0.0625 Take the square root of each side: x = {-0.25, 0.25}
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