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0.682=1-((2/3.14)*(0.25/0.375)*((x+2)/(x-1)))

0.682=1-((2/3.14)*(0.25/0.375)*((x+2)/(x-1))) equation

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Numerical solution:

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The solution

You have entered [src]
341           1        1            1  
--- = 1 - 2*-----*1/4*---*(x + 2)*-----
500         /157\     3/8         x - 1
            |---|                      
            \ 50/                      
$$\frac{341}{500} = - \frac{2 \left(x + 2\right)}{\frac{3}{8} \cdot \frac{157}{50} \cdot 4 \left(x - 1\right)} + 1$$
Detail solution
Given the equation:
$$\frac{341}{500} = - \frac{2 \left(x + 2\right)}{\frac{3}{8} \cdot \frac{157}{50} \cdot 4 \left(x - 1\right)} + 1$$
Multiply the equation sides by the denominator -1 + x
we get:
$$\frac{341 x}{500} - \frac{341}{500} = \frac{271 x}{471} - \frac{871}{471}$$
Move free summands (without x)
from left part to right part, we given:
$$\frac{341 x}{500} = \frac{271 x}{471} - \frac{274889}{235500}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{25111 x}{235500} = - \frac{274889}{235500}$$
Divide both parts of the equation by 25111/235500
x = -274889/235500 / (25111/235500)

We get the answer: x = -274889/25111
The graph
Rapid solution [src]
     -274889 
x1 = --------
      25111  
$$x_{1} = - \frac{274889}{25111}$$
Sum and product of roots [src]
sum
    274889
0 - ------
    25111 
$$- \frac{274889}{25111} + 0$$
=
-274889 
--------
 25111  
$$- \frac{274889}{25111}$$
product
  -274889 
1*--------
   25111  
$$1 \left(- \frac{274889}{25111}\right)$$
=
-274889 
--------
 25111  
$$- \frac{274889}{25111}$$
-274889/25111
Numerical answer [src]
x1 = -10.9469555175023
x1 = -10.9469555175023
The graph
0.682=1-((2/3.14)*(0.25/0.375)*((x+2)/(x-1))) equation