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Simplifying (d + -6)(d + 6) = 0 Reorder the terms: (-6 + d)(d + 6) = 0 Reorder the terms: (-6 + d)(6 + d) = 0 Multiply (-6 + d) * (6 + d) (-6(6 + d) + d(6 + d)) = 0 ((6 * -6 + d * -6) + d(6 + d)) = 0 ((-36 + -6d) + d(6 + d)) = 0 (-36 + -6d + (6 * d + d * d)) = 0 (-36 + -6d + (6d + d2)) = 0 Combine like terms: -6d + 6d = 0 (-36 + 0 + d2) = 0 (-36 + d2) = 0 Solving -36 + d2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + d2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + d2 = 0 + 36 d2 = 0 + 36 Combine like terms: 0 + 36 = 36 d2 = 36 Simplifying d2 = 36 Take the square root of each side: d = {-6, 6}
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