SOLUTION: I need help solving this equation 7/2x+1 + 8/2x-1 = -4 (the first 2 are fractions)

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Question 409640: I need help solving this equation
7/2x+1 + 8/2x-1 = -4 (the first 2 are fractions)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
7%2F%282x+%2B+1%29+%2B+8%2F%282x+-+1%29+=+-4
Multiply both sides by %282x+%2B+1%29%2A%282x+-+1%29
7%2A%282x+-+1%29+%2B+8%2A%282x+%2B+1%29+=+-4%2A%284x%5E2+-+1%29
14x+-+7+%2B+16x+%2B+8+=+-16x%5E2+%2B+4
30x+%2B+1+=+-16x%5E2+%2B+4
16x%5E2+%2B+30x+-+3+=+0
Use quadratic formula
x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a+=+16
b+=+30
c+=+-3
x+=+%28-30+%2B-+sqrt%28+30%5E2-4%2A16%2A%28-3%29+%29%29%2F%282%2A16%29+
x+=+%28-30+%2B-+sqrt%28+900+%2B+192+%29%29+%2F+32+
x+=+%28-30+%2B-+sqrt%28+1092+%29%29+%2F+32+
1092 isn't a perfect square, so maybe I made
a mistake. I think the method is OK, though