Question 118231
Do you want to solve for h?



{{{x^2+50x+625=(x+h)^2}}} Start with the given equation



{{{x^2+50x+625=x^2+2xh+h^2}}} Foil the right side


Since the term {{{h^2}}} is the only constant term on the right (it's the only term without a variable), and 625 is the only constant term on the left, this means {{{h^2=625}}}



{{{sqrt(h^2)=sqrt(625)}}} Now take the square root of both sides



{{{h=25}}} Simplify. 



So the answer is {{{h=25}}}