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Simplifying (D + 10)(D + -10) = 0 Reorder the terms: (10 + D)(D + -10) = 0 Reorder the terms: (10 + D)(-10 + D) = 0 Multiply (10 + D) * (-10 + D) (10(-10 + D) + D(-10 + D)) = 0 ((-10 * 10 + D * 10) + D(-10 + D)) = 0 ((-100 + 10D) + D(-10 + D)) = 0 (-100 + 10D + (-10 * D + D * D)) = 0 (-100 + 10D + (-10D + D2)) = 0 Combine like terms: 10D + -10D = 0 (-100 + 0 + D2) = 0 (-100 + D2) = 0 Solving -100 + D2 = 0 Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + D2 = 0 + 100 Combine like terms: -100 + 100 = 0 0 + D2 = 0 + 100 D2 = 0 + 100 Combine like terms: 0 + 100 = 100 D2 = 100 Simplifying D2 = 100 Take the square root of each side: D = {-10, 10}
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