Answer :
Given data:
The given expression is x^2+74=-10x.
The given expression can be written as,
[tex]\begin{gathered} x^2+74=-10x \\ x^2+10x+74=0 \\ x^2+2(x)(5)+25+49=0 \\ (x+5)^2+49=0 \\ (x+5)^2=-49 \end{gathered}[/tex]Thus, the given expression can be written as (x+5)^2 =-49.