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Simplifying (d + 5)(d + -5) = 0 Reorder the terms: (5 + d)(d + -5) = 0 Reorder the terms: (5 + d)(-5 + d) = 0 Multiply (5 + d) * (-5 + d) (5(-5 + d) + d(-5 + d)) = 0 ((-5 * 5 + d * 5) + d(-5 + d)) = 0 ((-25 + 5d) + d(-5 + d)) = 0 (-25 + 5d + (-5 * d + d * d)) = 0 (-25 + 5d + (-5d + d2)) = 0 Combine like terms: 5d + -5d = 0 (-25 + 0 + d2) = 0 (-25 + d2) = 0 Solving -25 + d2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + d2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + d2 = 0 + 25 d2 = 0 + 25 Combine like terms: 0 + 25 = 25 d2 = 25 Simplifying d2 = 25 Take the square root of each side: d = {-5, 5}
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