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Simplifying (2d + -5)(2d + 5) = 0 Reorder the terms: (-5 + 2d)(2d + 5) = 0 Reorder the terms: (-5 + 2d)(5 + 2d) = 0 Multiply (-5 + 2d) * (5 + 2d) (-5(5 + 2d) + 2d * (5 + 2d)) = 0 ((5 * -5 + 2d * -5) + 2d * (5 + 2d)) = 0 ((-25 + -10d) + 2d * (5 + 2d)) = 0 (-25 + -10d + (5 * 2d + 2d * 2d)) = 0 (-25 + -10d + (10d + 4d2)) = 0 Combine like terms: -10d + 10d = 0 (-25 + 0 + 4d2) = 0 (-25 + 4d2) = 0 Solving -25 + 4d2 = 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 + 4d2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 4d2 = 0 + 25 4d2 = 0 + 25 Combine like terms: 0 + 25 = 25 4d2 = 25 Divide each side by '4'. d2 = 6.25 Simplifying d2 = 6.25 Take the square root of each side: d = {-2.5, 2.5}
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