SOLUTION: solve equation a+4 over 2 equals a+4 over a

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Question 120850:
solve equation a+4 over 2 equals a+4 over a
Answer by checkley71(8403) About Me  (Show Source):
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(a+2)/2=(a+2)/a cross multiply
a(a+2)=2(a+2)
a^2+2a=2a+4
a^2+2a-2a-4=0
a^2-4=0
(a-2)(a+2)=0
a-2=0
a=2 answer.
a+2=0
a=-2 answer.
proof
(2+2)/2=(2+2)2
4/2=4/2
2=2
(-2+2)/2=(-2+2)/-2
0/2=0/-2
0=0