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Simplifying (2d + 7)(2d + -7) = 0 Reorder the terms: (7 + 2d)(2d + -7) = 0 Reorder the terms: (7 + 2d)(-7 + 2d) = 0 Multiply (7 + 2d) * (-7 + 2d) (7(-7 + 2d) + 2d * (-7 + 2d)) = 0 ((-7 * 7 + 2d * 7) + 2d * (-7 + 2d)) = 0 ((-49 + 14d) + 2d * (-7 + 2d)) = 0 (-49 + 14d + (-7 * 2d + 2d * 2d)) = 0 (-49 + 14d + (-14d + 4d2)) = 0 Combine like terms: 14d + -14d = 0 (-49 + 0 + 4d2) = 0 (-49 + 4d2) = 0 Solving -49 + 4d2 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 4d2 = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 4d2 = 0 + 49 4d2 = 0 + 49 Combine like terms: 0 + 49 = 49 4d2 = 49 Divide each side by '4'. d2 = 12.25 Simplifying d2 = 12.25 Take the square root of each side: d = {-3.5, 3.5}
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