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On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation x+1/2x+1/4x+1/8x+1/16x+1/32 = 378 .
    Question type: Equation
    Solution:Original question:
      x + 1 ÷ 2 × x + 1 ÷ 4 × x + 1 ÷ 8 × x + 1 ÷ 16 = 378
     Left side of the equation = x +
1
2
 x +
1
4
 x +
1
8
 x +
1
16
 x +
1
32
                                             =
31
16
 x +
1
32
    The equation is transformed into :
     
31
16
 x +
1
32
 = 378

    Transposition :
     
31
16
 x = 378 −
1
32

    Combine the items on the right of the equation:
     
31
16
 x =
12095
32

    The coefficient of the unknown number is reduced to 1 :
      x =
12095
32
 ÷
31
16
        =
12095
32
 ×
16
31
        =
12095
2
 ×
1
31

    We obtained :
      x =
12095
62
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 195.080645



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