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Question

Solve \( 2 ^ { 2 x + 2 } - 6 ^ { x } - 2 \cdot 3 ^ { 2 x + 2 } = 0 \) Hint. Divide by \( 6 ^ { x } ; \operatorname { put } \left( \frac { 2 } { 3 } \right) ^ { x } = y \) Solve \( ( x + 2 ) ( 3 x + 4 ) ( 3 x + 7 ) ( x + 3 ) = 2600 \)

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