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[tex]x\neq0 \\ x + 2 = \frac{22x + 6}{x} \\ x + 2 - \frac{22x + 6}{x} = 0 \\ \frac{ {x}^{2} + 2x - (22x +6 )}{x} = 0 \\ {x}^{2} + 2x - 22x - 6 = 0 \\ {x}^{2} - 20x - 6 = 0 \\ a = 1\\ b = - 20 \\ c = - 6 \\ D = {b}^{2} - 4ac =( - 20 {)}^{2} - 4 \times 1 \times (- 6) = \\ = 400 + 24 = 424 \: \: ( \sqrt{D} = 2 \sqrt{106}) \\ x_{1} = \frac{20 + \sqrt{106} }{2 \times 1} = \frac{2(10 + \sqrt{106}) }{2} = 10 + \sqrt{106} \\ x_{2} = \frac{20 - \sqrt{106} }{2 \times 1} = \frac{2(10 - \sqrt{106}) }{2} = 10 - \sqrt{106} [/tex]