若2m+m²+m²n²+2=﹣2mn,求m,n的值

若2m+m²+m²n²+2=﹣2mn,求m,n的值
若2m+m²+m²n²+2=﹣2mn,求m,n的值

若2m+m²+m²n²+2=﹣2mn,求m,n的值
2m+m²+m²n²+2=-2mn
m²+2m+1+m²n²+2mn+1=0
(m+1)²+(mn+1)²=0
平方项恒非负,两非负项之和=0,两非负项均=0
m+1=0
mn+1=0
解得m=-1 n=1