\(5\sqrt{x}-3x-2=5\sqrt{x}-5x-2+2x=5\sqrt{x}\left(1-\sqrt{x}\right)-2\left(1-x\right)=5\sqrt{x}\left(1-\sqrt{x}\right)-2\left(1-\sqrt{x}\right)\left(1+\sqrt{x}\right)=\left(1-\sqrt{x}\right)\left[5\sqrt{x}-2\left(1+\sqrt{x}\right)\right]=\left(1-\sqrt{x}\right)\left(5\sqrt{x}-2-2\sqrt{x}\right)=\left(1-\sqrt{x}\right)\left(3\sqrt{x}-2\right)\)