\[ \boxed { 6\,x \left ( y \left ( x \right ) \right ) ^{2}{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +2\, \left ( y \left ( x \right ) \right ) ^{3}+x=0} \]
Mathematica: cpu = 0.009501 (sec), leaf count = 99 \[ \left \{\left \{y(x)\to \frac {\sqrt [3]{4 c_1-x^2}}{2^{2/3} \sqrt [3]{x}}\right \},\left \{y(x)\to -\frac {\sqrt [3]{-1} \sqrt [3]{4 c_1-x^2}}{2^{2/3} \sqrt [3]{x}}\right \},\left \{y(x)\to \frac {(-1)^{2/3} \sqrt [3]{4 c_1-x^2}}{2^{2/3} \sqrt [3]{x}}\right \}\right \} \]
Maple: cpu = 0.015 (sec), leaf count = 120 \[ \left \{ y \left ( x \right ) ={\frac {1}{2\,x}\sqrt [3]{ \left ( -2\,{x} ^{2}+8\,{\it \_C1} \right ) {x}^{2}}},y \left ( x \right ) =-{\frac {1}{4 \,x}\sqrt [3]{ \left ( -2\,{x}^{2}+8\,{\it \_C1} \right ) {x}^{2}}}-{ \frac {{\frac {i}{4}}\sqrt {3}}{x}\sqrt [3]{ \left ( -2\,{x}^{2}+8\,{ \it \_C1} \right ) {x}^{2}}},y \left ( x \right ) =-{\frac {1}{4\,x} \sqrt [3]{ \left ( -2\,{x}^{2}+8\,{\it \_C1} \right ) {x}^{2}}}+{\frac { {\frac {i}{4}}\sqrt {3}}{x}\sqrt [3]{ \left ( -2\,{x}^{2}+8\,{\it \_C1} \right ) {x}^{2}}} \right \} \]