Finding all solutions of an expression and expressing them in the form $a+bi$ $$6x^2+12x+7=0$$
Steps I took:
$$\frac { -12\pm \sqrt { 12^{ 2 }-4\cdot6\cdot7 }  }{ 12 } $$
$$\frac { -12\pm \sqrt { -24 }  }{ 12 } $$
$$\frac { -12\pm i\sqrt { 24 }  }{ 12 } $$
$$\frac { -12\pm 2i\sqrt { 6 }  }{ 12 } $$
I don't know where to go from here to arrive at the correct answer...

Hint:
$$\frac{a+b}{c} = \frac ac + \frac bc$$
