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Simplifying (4x + 4)(4x + -4) = 0 Reorder the terms: (4 + 4x)(4x + -4) = 0 Reorder the terms: (4 + 4x)(-4 + 4x) = 0 Multiply (4 + 4x) * (-4 + 4x) (4(-4 + 4x) + 4x * (-4 + 4x)) = 0 ((-4 * 4 + 4x * 4) + 4x * (-4 + 4x)) = 0 ((-16 + 16x) + 4x * (-4 + 4x)) = 0 (-16 + 16x + (-4 * 4x + 4x * 4x)) = 0 (-16 + 16x + (-16x + 16x2)) = 0 Combine like terms: 16x + -16x = 0 (-16 + 0 + 16x2) = 0 (-16 + 16x2) = 0 Solving -16 + 16x2 = 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 + 16x2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 16x2 = 0 + 16 16x2 = 0 + 16 Combine like terms: 0 + 16 = 16 16x2 = 16 Divide each side by '16'. x2 = 1 Simplifying x2 = 1 Take the square root of each side: x = {-1, 1}
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