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Solve for dd.\newline5d=(4+7d)\sqrt{5d} = \sqrt{\left(-4 + 7d\right)}\newlined=d = _____

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Q. Solve for dd.\newline5d=(4+7d)\sqrt{5d} = \sqrt{\left(-4 + 7d\right)}\newlined=d = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(5d)2=(4+7d)2(\sqrt{5d})^2 = (\sqrt{\text{–}4 + 7d})^2\newline5d=4+7d5d = \text{–}4 + 7d
  2. Subtract 7d7d: Subtract 7d7d from both sides to get all the dd terms on one side.\newline5d7d=4+7d7d5d - 7d = -4 + 7d - 7d\newline2d=4-2d = -4
  3. Divide by 2-2: Divide both sides by 2-2 to solve for dd.\newline2d2=42\frac{-2d}{-2} = \frac{-4}{-2}\newlined=2d = 2

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