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Simplifying (8x + 4)(8x + -4) = 0 Reorder the terms: (4 + 8x)(8x + -4) = 0 Reorder the terms: (4 + 8x)(-4 + 8x) = 0 Multiply (4 + 8x) * (-4 + 8x) (4(-4 + 8x) + 8x * (-4 + 8x)) = 0 ((-4 * 4 + 8x * 4) + 8x * (-4 + 8x)) = 0 ((-16 + 32x) + 8x * (-4 + 8x)) = 0 (-16 + 32x + (-4 * 8x + 8x * 8x)) = 0 (-16 + 32x + (-32x + 64x2)) = 0 Combine like terms: 32x + -32x = 0 (-16 + 0 + 64x2) = 0 (-16 + 64x2) = 0 Solving -16 + 64x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 64x2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 64x2 = 0 + 16 64x2 = 0 + 16 Combine like terms: 0 + 16 = 16 64x2 = 16 Divide each side by '64'. x2 = 0.25 Simplifying x2 = 0.25 Take the square root of each side: x = {-0.5, 0.5}
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