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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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