Hi, my name is Eddy. I need help in identifying what type of equation is this one and please, help solving it step by step, if it is possible.

(x+4)^{2 }=x(x-4) +5

thanks a lot in advance

this is the part that i don't really understand so far

is this a constant.does it have to be done like that?. always?The x term is -16x. Take half its coefficient (-8).

Square it (64) and add it to both sides

Add '64' to each side of the equation.

-16x + 64 + x^{2}= 3 + 64

Reorder the terms:

64 + -16x + x^{2}= 3 + 64

Combine like terms: 3 + 64 = 67

64 + -16x + x^{2}= 67

Factor a perfect square on the left side: (don't get this part!!!) how do i factor a perfect square???

(x + -8)(x + -8) = 67

Calculate the square root of the right side: 8.185352772

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