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Simplifying (4w + 4)(4w + -4) = 0 Reorder the terms: (4 + 4w)(4w + -4) = 0 Reorder the terms: (4 + 4w)(-4 + 4w) = 0 Multiply (4 + 4w) * (-4 + 4w) (4(-4 + 4w) + 4w * (-4 + 4w)) = 0 ((-4 * 4 + 4w * 4) + 4w * (-4 + 4w)) = 0 ((-16 + 16w) + 4w * (-4 + 4w)) = 0 (-16 + 16w + (-4 * 4w + 4w * 4w)) = 0 (-16 + 16w + (-16w + 16w2)) = 0 Combine like terms: 16w + -16w = 0 (-16 + 0 + 16w2) = 0 (-16 + 16w2) = 0 Solving -16 + 16w2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 16w2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 16w2 = 0 + 16 16w2 = 0 + 16 Combine like terms: 0 + 16 = 16 16w2 = 16 Divide each side by '16'. w2 = 1 Simplifying w2 = 1 Take the square root of each side: w = {-1, 1}
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