$\Leftrightarrow2\sqrt{5x^3+3x^2+3x-2}=x^2+6x-1$$\Leftrightarrow4(5x^3+3x^2+3x-2)=x^4+34x^2+1+12x^3-12x-2x^2$$\Leftrightarrow x^4-8x^3+22x^2-24x+9=0$$\Leftrightarrow (x-3)^2(x-1)^2$the end
$\Leftrightarrow2\sqrt{5x^3+3x^2+3x-2}=x^2+6x-1$$\Leftrightarrow4(5x^3+3x^2+3x-2)=x^4+36x^2+1+12x^3-12x-2x^2$$\Leftrightarrow x^4-8x^3+22x^2-24x+9=0$$\Leftrightarrow (x-3)^2(x-1)^2$the end
$\Leftrightarrow2\sqrt{5x^3+3x^2+3x-2}=x^2+6x-1$$\Leftrightarrow4(5x^3+3x^2+3x-2)=x^4+3
4x^2+1+12x^3-12x-2x^2$$\Leftrightarrow x^4-8x^3+22x^2-24x+9=0$$\Leftrightarrow (x-3)^2(x-1)^2$the end