\(\frac{5}{9}-\sqrt{2x}=\frac{4}{9}\)
\(\sqrt{2x}=\frac{5}{9}-\frac{4}{9}\)
\(\sqrt{2x}=\frac{1}{9}\)
\(\left(2x\right)^2=\frac{1}{9}\)
\(2x=\frac{1}{3}\)
\(x=\frac{1}{3}:2\)
\(x=\frac{1}{6}\)
\(\frac{5}{9}-\sqrt{2x}=\frac{4}{9}\)
\(\sqrt{2x}=\frac{5}{9}-\frac{4}{9}\)
\(\sqrt{2x}=\frac{1}{9}\)
\(\sqrt{2x}=\sqrt{\frac{1}{81}}\)
\(2x=\frac{1}{81}\)
\(x=\frac{1}{162}\)