S. T,
x-3 is a solution of x^2+6x+9=0
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x^2+6x+9=0
=x^2+3x+3x+9=0
=x(x+3)+3(x+3)=0
=(x+3)(x+3)=0
=(x+3)^2=0
=x+3=0
=x=(-3)
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