23sin²x+0.5*21sinx=22

[latex]23sin^2x+0,5cdot 21sinx=22; |cdot 2\\46sin^2x+21sinx-44=0; ,; ; -1 leq sinx leq 1\\D=8537; ,; sqrt{D}approx 92,4\\(sinx)_1=frac{-21-sqrt{8537}}{92}approx -1,23 extless -1; ; o ; ; ne; ; podxodit\\(sinx)_2=frac{-21+sqrt{8537}}{92}approx 0,78; ;; ; ; ; -1 leq 0,78 leq 1; ;\\x=(-1)^{n}arcsinfrac{sqrt{8537}-21}{92}+pi n,; nin Z[/latex]