\[(2 - x)^{2} - x\left( x + \frac{3}{2} \right) = 4\]
\[4 - 4x + x^{2} - x^{2} - \frac{3}{2}x = 4\]
\[- 4\frac{3}{2}x = 4 - 4\]
\[- \frac{11}{2}x = 0\]
\[x = 0.\]