Find the sum of solutions of the equation for .

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Problem

Find the sum of solutions of the equation 3sin⁡2x−7sin⁡x+2=03\sin^2x-7\sin x+2=0 for x∈[0,2π]x\in[0,2\pi]. (1) 5π6\frac{5\pi}{6} (2) 7π6\frac{7\pi}{6} (3) 2π2\pi (4) π\pi

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