ĐKXĐ: \(x\ge0\)
\(\Leftrightarrow\sqrt{4x}-\sqrt{3x+1}+\sqrt{2x+2}-\sqrt{x+3}=0\)
\(\Leftrightarrow\frac{x-1}{\sqrt{4x}+\sqrt{3x+1}}+\frac{x-1}{\sqrt{2x+2}+\sqrt{x+3}}=0\)
\(\Leftrightarrow\left(x-1\right)\left(\frac{1}{\sqrt{4x}+\sqrt{3x+1}}+\frac{1}{\sqrt{2x+2}+\sqrt{x+3}}\right)=0\)
\(\Rightarrow x=1\)