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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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