Equilibrium states of a differential equation and their stability

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Considering the following equation;

$$\frac{dx}{dt}=x^2-x^4 $$

I want to

(1). Know which are its equilibrium states

(2). Say if such states are stable or unestable


My aproach:

(1). $x'=0 \implies x(t)=1, x(t)=0, x(t)=-1$

So this would be the equilibrium states, and how would i aproach (2)?, (3) is there any method of drawing a phase portrait of it?.