SOLUTION: solve : {{{ 6/x + 18/ x+8 = 8}}}

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Question 34175: solve : +6%2Fx+%2B+18%2F+x%2B8+=+8
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
this has no solution, since +6%2Fx+%2B+18%2F+x%2B8+=+8 gives +6%2Fx+%2B+18%2F+x+=+0 and then the x will ultimately become a zero.

Perhaps you meant to write +6%2Fx+%2B+18%2F%28x%2B8%29+=+8+? If so, we get

+%28%286%28x%2B8%29%29%2F%28x%28x%2B8%29%29%29+%2B+%28%2818x%29%2F%28x%28x%2B8%29%29%29+=+8+
+%28%286%28x%2B8%29%2B18x%29%2F%28x%28x%2B8%29%29%29+=+8+
+6%28x%2B8%29%2B18x+=+8x%28x%2B8%29+
+6x%2B48%2B18x+=+8x%5E2%2B64x+
+48%2B24x+=+8x%5E2%2B64x+
+0+=+8x%5E2%2B40x-48+
+8x%5E2%2B40x-48+=+0+
+x%5E2%2B5x-6+=+0+
(x+6)(x-1) = 0

so, either x+6=0 or x-1=0
hence x=-6 or x=1

jon.