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Simplifying (c + 2d)(c + -2d) = 0 Multiply (c + 2d) * (c + -2d) (c(c + -2d) + 2d * (c + -2d)) = 0 ((c * c + -2d * c) + 2d * (c + -2d)) = 0 Reorder the terms: ((-2cd + c2) + 2d * (c + -2d)) = 0 ((-2cd + c2) + 2d * (c + -2d)) = 0 (-2cd + c2 + (c * 2d + -2d * 2d)) = 0 (-2cd + c2 + (2cd + -4d2)) = 0 Reorder the terms: (-2cd + 2cd + c2 + -4d2) = 0 Combine like terms: -2cd + 2cd = 0 (0 + c2 + -4d2) = 0 (c2 + -4d2) = 0 Solving c2 + -4d2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4d2' to each side of the equation. c2 + -4d2 + 4d2 = 0 + 4d2 Combine like terms: -4d2 + 4d2 = 0 c2 + 0 = 0 + 4d2 c2 = 0 + 4d2 Remove the zero: c2 = 4d2 Simplifying c2 = 4d2 Take the square root of each side: c = {-2d, 2d}
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