SOLUTION: a/a-6=-2/a-1 solve, list any resrictions

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Question 299148: a/a-6=-2/a-1 solve, list any resrictions
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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a/a-6=-2/a-1 solve, list any restrictions
:
Assume the problem is:
a%2F%28a-6%29 = %28-2%29%2F%28a-1%29
Cross multiply, results
a(a-1) = -2(a-6)
:
a^2 - a = -2a + 12
:
a^2 - a + 2a - 12 = 0
:
a^2 + a - 12 = 0
Factors to
(a+4)(a-3) = 0
Two solutions
a = -4
a = +3
:
:
Check both solutions in original problem
a-4
%28-4%29%2F%28-4-6%29 = %28-2%29%2F%28-4-1%29
%28-4%29%2F%28-10%29 = %28-2%29%2F%28-4-1%29
and a=3
3%2F%283-6%29 = %28-2%29%2F%283-1%29
3%2F%28-3%29 = %28-2%29%2F%282%29