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Solve for tt.\newline6t2=4t\sqrt{6t - 2} = \sqrt{4t}\newlinet=t = _____

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Q. Solve for tt.\newline6t2=4t\sqrt{6t - 2} = \sqrt{4t}\newlinet=t = _____
  1. Square both sides: Square both sides of the equation to eliminate the square roots.\newline(6t2)2=(4t)2(\sqrt{6t - 2})^2 = (\sqrt{4t})^2\newline6t2=4t6t - 2 = 4t
  2. Subtract to isolate variable: Subtract 4t4t from both sides to isolate the variable terms on one side.\newline6t4t2=4t4t6t - 4t - 2 = 4t - 4t\newline2t2=02t - 2 = 0
  3. Add to solve for t: Add 22 to both sides to solve for t.\newline2t2+2=0+22t - 2 + 2 = 0 + 2\newline2t=22t = 2
  4. Divide to find value: Divide both sides by 22 to find the value of tt.2t2=22\frac{2t}{2} = \frac{2}{2}t=1t = 1

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