the solutions of 1 over x plus 4, plus one half, equals 1 over x plus 4,extraneous or non-extraneous

Question

need help plz

Answer 1

Given [1 / (x + 4)] + 1/2 = 1 / (x + 4)
(2 + x + 4) / 2(x + 4) = 1 / (x + 4)
(x + 6) / (2x + 8) = 1 / (x + 4)
(x + 6)(x + 4) = 2x + 8
x^2 + 10x + 24 = 2x + 8
x^2 + 8x + 16 = 0
(x + 4)^2 = 0
x = -4, -4
-4, non extraneous

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