Question
Solve $3 \sqrt{2 x^2}-5 x-\sqrt{2}=0$
✓
Answer
Given: $3 \sqrt{2 x^2}-5 x-\sqrt{2}=0$
$\Rightarrow 3 \sqrt{2 x^2}-6 x+x-\sqrt{2}=0 $
$\Rightarrow(3 \sqrt{2} x+1)(x-\sqrt{2})=0 $
$ \Rightarrow x=-\frac{1}{3} \sqrt{2} \text { or } x=\sqrt{2}$
$\Rightarrow 3 \sqrt{2 x^2}-6 x+x-\sqrt{2}=0 $
$\Rightarrow(3 \sqrt{2} x+1)(x-\sqrt{2})=0 $
$ \Rightarrow x=-\frac{1}{3} \sqrt{2} \text { or } x=\sqrt{2}$
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