Question
$3a^2x^2 + 8abx + 4b^2 = 0$
✓
Answer
$3 a^2 x^2+8 a b x+4 b^2=0 $
$ \Rightarrow 3 a^2 x^2+6 a b x+2 a b x+4 b^2=0$
$\Rightarrow 3 a x(a x+2 b)+2 b(a x+2 b)=0$
$ \Rightarrow(3 a x+2 b)(a x+2 b)=0$
$ \Rightarrow x=-\frac{2 b}{3 a} \text { or }-\frac{2 b}{a} $
$ \Rightarrow 3 a^2 x^2+6 a b x+2 a b x+4 b^2=0$
$\Rightarrow 3 a x(a x+2 b)+2 b(a x+2 b)=0$
$ \Rightarrow(3 a x+2 b)(a x+2 b)=0$
$ \Rightarrow x=-\frac{2 b}{3 a} \text { or }-\frac{2 b}{a} $
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