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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 2*(26/31-x*51/31)+2*51/31*(16/31+x*17/31) = 0 .
    Question type: Equation
    Solution:Original question:
     2(26 ÷ 31 − x × 51 ÷ 31) + 2 × 51 ÷ 31 × (16 ÷ 31 + x × 17 ÷ 31) = 0
     Left side of the equation = 2(26 ÷ 31 − x × 51 ÷ 31) +
102
31
(16 ÷ 31 + x × 17 ÷ 31)
    The equation is transformed into :
     2(26 ÷ 31 − x × 51 ÷ 31) +
102
31
(16 ÷ 31 + x × 17 ÷ 31) = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = 2 × 26 ÷ 31 − 2 x × 51 ÷ 31 +
102
31
(16 ÷ 31 + x × 17 ÷ 31)
                                             =
52
31
 −
102
31
 x +
102
31
(16 ÷ 31 + x × 17 ÷ 31)
                                             =
52
31
 −
102
31
 x +
102
31
 × 16 ÷ 31 +
102
31
 x × 17 ÷ 31
                                             =
52
31
 −
102
31
 x +
1632
961
 +
1734
961
 x
                                             =
3244
961
 −
1428
961
 x
    The equation is transformed into :
     
3244
961
 −
1428
961
 x = 0

    Transposition :
      -
1428
961
 x = 0 −
3244
961

    Combine the items on the right of the equation:
      -
1428
961
 x = -
3244
961

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
3244
961
 =
1428
961
 x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
1428
961
 x =
3244
961

    The coefficient of the unknown number is reduced to 1 :
      x =
3244
961
 ÷
1428
961
        =
3244
961
 ×
961
1428
        = 811 ×
1
357

    We obtained :
      x =
811
357
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 2.271709



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