SOLUTION: 5/4x+1/8x=7/8+x The solution to x is:

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Question 324982: 5/4x+1/8x=7/8+x
The solution to x is:
Found 2 solutions by Fombitz, Alan3354:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%285%2F4%29x%2B%281%2F8%29x=%287%2F8%29%2Bx
Multiply both sides by 8.
10x%2Bx=7%2Bx
11x=x%2B7
10x=7
highlight%28x=7%2F10%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
5/4x+1/8x=7/8+x
Multiply by 8x
10 + 1 = 7x + 8x^2
8x^2 + 7x - 11 = 0
Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation ax%5E2%2Bbx%2Bc=0 (in our case 8x%5E2%2B7x%2B-11+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%287%29%5E2-4%2A8%2A-11=401.

Discriminant d=401 is greater than zero. That means that there are two solutions: +x%5B12%5D+=+%28-7%2B-sqrt%28+401+%29%29%2F2%5Ca.

x%5B1%5D+=+%28-%287%29%2Bsqrt%28+401+%29%29%2F2%5C8+=+0.814061524656299
x%5B2%5D+=+%28-%287%29-sqrt%28+401+%29%29%2F2%5C8+=+-1.6890615246563

Quadratic expression 8x%5E2%2B7x%2B-11 can be factored:
8x%5E2%2B7x%2B-11+=+%28x-0.814061524656299%29%2A%28x--1.6890615246563%29
Again, the answer is: 0.814061524656299, -1.6890615246563. Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+8%2Ax%5E2%2B7%2Ax%2B-11+%29