単純に展開しただけですよ。
5(2log₃x + 1) - 4(log₃x)² + 1 = 0
10log₃x + 5 - 4(log₃x)² + 1 = 0
-4(log₃x)² + 10log₃x + 6 = 0
両辺を-2で割って
2(log₃x)² - 5log₃x - 3 = 0
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