Answer:
[tex]x = \frac{-13 + \sqrt{217}}{12} \ , \ x = \frac{-13 - \sqrt{217}}{12}[/tex]
Step-by-step explanation:
Standard quadratic equation : ax² + bx + c
[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]3(2+x)2x = -1x + 2\\6x(2+x) = -1 x + 2\\12x + 6x^2 + 1x -2 = 0\\6x^2+13x -2=0\\[/tex]
[tex]a = 6, b = 13, c = -2[/tex]
[tex]x = \frac{- 13 \pm \sqrt{169 + 48}}{12}\\\\x = \frac{-13 + \sqrt{217}}{12} \ , \ x = \frac{-13 - \sqrt{217}}{12}[/tex]
