<|system|>
Find $h(x)$, with terms in order of decreasing degree, if  \[3x^4+2x-1+h(x)=5x^2-6x-1.\]</s>.
<|user|>
Can you answer based on context?
<|assistant|>
This equation is solved by \[h(x)=(5x^2-6x-1)-(3x^4+2x-1)=-3x^4+5x^2-8x\]