[tex]4p^4-25p^2=-16p^2\ \ \ \ |+16p^2\\\\4p^4-9p^2=0\\\\p^2(4p^2-9)=0\iff p^2=0\ \vee\ 4p^2-9=0\\\\p^2=0\to p=0\\\\4p^2-9=0\ \ \ |+9\\\\4p^2=9\ \ |:4\\\\p^2=\dfrac{9}{4}\to p=\pm\sqrt{\dfrac{9}{4}}\to p=-\dfrac{3}{2}\ \vee\ x=\dfrac{3}{2}[/tex]
Answer: A- p=0 or p=3/2 or p=-3/2
