Possible values of x is -4 or -16
[tex]{x}^2[/tex] + 20x +100 = 36
[tex]\\{x}^2[/tex] + 20x + 100-36 = 0
[tex]\\{x}^2[/tex] + 20x + 64 = 0
Using middle term split
In this method splitting of middle term in to two factors, In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term.
[tex]{x}^2[/tex] + 4x + 16x + 64 = 0
x(x+4) + 16(x+4) = 0
taking common (x+4)
(x+4)(x+16) = 0
Either
x+4 = 0
⇒ x = -4
or (x+16) = 0
⇒ x = -16
Thus possible values of x is -4 or -16
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