given

f(x)=x^{2}+10x+25

to find the zeroes,

f(x)=0

x^{2}+10x+25=0

x^{2}+5x+5x+25=0

x(x+5)+5(x+5)=0

(x+5)(x+5)=0

x+5=0

x=-5

is the only real root.

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