solve the following equation

Answer:
[tex]$ \pm \frac{10}{3} $[/tex]
Step-by-step explanation:
Given:
[tex]$ \frac{4}{9} - \frac{x^2}{25} $[/tex]
This can be written as [tex]$ \frac{4}{9} = \frac{x^2}{25} = x^2 = 25 \times \frac{4}{9} $[/tex]
[tex]$ \implies x = \pm \sqrt{25 \times \frac{4}{9} } $[/tex]
[tex]$ \implies x = \pm 5 \times \frac{2}{3} = \pm \frac{10}{3} $[/tex]