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Simplifying (d + -4)(d + 4) = 0 Reorder the terms: (-4 + d)(d + 4) = 0 Reorder the terms: (-4 + d)(4 + d) = 0 Multiply (-4 + d) * (4 + d) (-4(4 + d) + d(4 + d)) = 0 ((4 * -4 + d * -4) + d(4 + d)) = 0 ((-16 + -4d) + d(4 + d)) = 0 (-16 + -4d + (4 * d + d * d)) = 0 (-16 + -4d + (4d + d2)) = 0 Combine like terms: -4d + 4d = 0 (-16 + 0 + d2) = 0 (-16 + d2) = 0 Solving -16 + d2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + d2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + d2 = 0 + 16 d2 = 0 + 16 Combine like terms: 0 + 16 = 16 d2 = 16 Simplifying d2 = 16 Take the square root of each side: d = {-4, 4}
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