Question

$$= 2 x ^ { 2 } = 6 x ^ { \frac { 9 } { 2 } + 2 }$$

Solve for x (complex solution)

$x=\frac{3^{\frac{7}{9}}}{3}\approx 0.783381037$
$x=0$
$x=\frac{3^{\frac{7}{9}}e^{\frac{4\pi i}{9}}}{3}\approx 0.136032689+0.771479719i$

Solve for x

$x=\frac{3^{\frac{7}{9}}}{3}\approx 0.783381037$
$x=0$