SOLUTION: How doe you solve these 4/a-7=-2a/a+3

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Question 71386: How doe you solve these 4/a-7=-2a/a+3
Found 2 solutions by checkley75, stanbon:
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!

SUGGESTION: IN THE FUTURE USE () MORE FREQUENTLY IN THESE TYPE OF PROBLEMS.
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if this problem is 4/(a-7)=-2a/(a+3) then just cross multiply
4(a+3)=-2a(a-7)
4a+12=-2a^2+14a
2a^2+4a-14a+12=0
2a^2-10a+12=0
a^2-5a+6=0
(a-3)(a-2)=0
a-3=0
a=3 answer
a-2=0
a=2 answer
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or (4/a)-7=(-2a/a)+3
(4-7a)/a=-2+3
(4-7a)/a=1
a=4-7a
a+7a=4
8a=4
a=4/8
a=1/2 answer

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve these 4/(a-7)=-2a/(a+3)
Cross-multiply to get:
4(a+3) = -2a(a-7)
4a+12 = -2a^2+14a
2a^2-10a+12=0
a^2-5a+6=0
(a-6)(a+1)=0
a=6 or a=-1
Cheers,
Stan H.