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Solve for tt.\newline8t=10t2\sqrt{8t} = \sqrt{10t - 2}\newlinet=t = _____

Full solution

Q. Solve for tt.\newline8t=10t2\sqrt{8t} = \sqrt{10t - 2}\newlinet=t = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(8t)2=(10t2)2(\sqrt{8t})^2 = (\sqrt{10t - 2})^2\newline8t=10t28t = 10t - 2
  2. Subtract 10t10t: Subtract 10t10t from both sides to get all the terms with tt on one side.\newline8t10t=28t - 10t = -2\newline2t=2-2t = -2
  3. Divide by 2-2: Divide both sides by 2-2 to solve for tt.\newline2t2=22\frac{-2t}{-2} = \frac{-2}{-2}\newlinet=1t = 1

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