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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)-2*17/31(26/31-x*51/31)+8*(16/31+x*17/31)*17/31-51/31-51/31 = 0 .
    Question type: Equation
    Solution:Original question:
     2(26 ÷ 31 − x × 51 ÷ 31) + 2 × 51 ÷ 31 × (16 ÷ 31 + x × 17 ÷ 31) − 2 × 17 ÷ 31 × (26 ÷ 31 − x × 51 ÷ 31) + 8(16 ÷ 31 + x × 17 ÷ 31) = 0
     Left side of the equation = 2(26 ÷ 31 − x × 51 ÷ 31) +
102
31
(16 ÷ 31 + x × 17 ÷ 31) −
34
31
(26 ÷ 31 − x × 51 ÷ 31) +
136
31
(16 ÷ 31 + x × 17 ÷ 31) −
51
31
 −
51
31
                                             = 2(26 ÷ 31 − x × 51 ÷ 31) +
102
31
(16 ÷ 31 + x × 17 ÷ 31) −
34
31
(26 ÷ 31 − x × 51 ÷ 31) +
136
31
(16 ÷ 31 + x × 17 ÷ 31) −
102
31
    The equation is transformed into :
     2(26 ÷ 31 − x × 51 ÷ 31) +
102
31
(16 ÷ 31 + x × 17 ÷ 31) −
34
31
(26 ÷ 31 − x × 51 ÷ 31) +
136
31
(16 ÷ 31 + x × 17 ÷ 31) −
102
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) −
34
31
(26 ÷ 31 − x × 51 ÷ 31) +
136
31
                                             =
52
31
 −
102
31
 x +
102
31
(16 ÷ 31 + x × 17 ÷ 31) −
34
31
(26 ÷ 31 − x × 51 ÷ 31) +
136
31
(16 ÷ 31 + x × 17 ÷ 31) −
102
31
                                             = -
50
31
 −
102
31
 x +
102
31
(16 ÷ 31 + x × 17 ÷ 31) −
34
31
(26 ÷ 31 − x × 51 ÷ 31) +
136
31
(16 ÷ 31 + x × 17 ÷ 31)
                                             = -
50
31
 −
102
31
 x +
102
31
 × 16 ÷ 31 +
102
31
 x × 17 ÷ 31 −
34
31
(26 ÷ 31 − x × 51 ÷ 31)
                                             = -
50
31
 −
102
31
 x +
1632
961
 +
1734
961
 x −
34
31
(26 ÷ 31 − x × 51 ÷ 31) +
136
31
(16 ÷ 31 + x × 17 ÷ 31)
                                             =
82
961
 −
1428
961
 x −
34
31
(26 ÷ 31 − x × 51 ÷ 31) +
136
31
(16 ÷ 31 + x × 17 ÷ 31)
                                             =
82
961
 −
1428
961
 x −
34
31
 × 26 ÷ 31 +
34
31
 x × 51 ÷ 31 +
136
31
(16 ÷ 31 + x × 17 ÷ 31)
                                             =
82
961
 −
1428
961
 x −
884
961
 +
1734
961
 x +
136
31
(16 ÷ 31 + x × 17 ÷ 31)
                                             = -
802
961
 +
306
961
 x +
136
31
(16 ÷ 31 + x × 17 ÷ 31)
                                             = -
802
961
 +
306
961
 x +
136
31
 × 16 ÷ 31 +
136
31
 x × 17 ÷ 31
                                             = -
802
961
 +
306
961
 x +
2176
961
 +
2312
961
 x
                                             =
1374
961
 +
2618
961
 x
    The equation is transformed into :
     
1374
961
 +
2618
961
 x = 0

    Transposition :
     
2618
961
 x = 0 −
1374
961

    Combine the items on the right of the equation:
     
2618
961
 x = -
1374
961

    The coefficient of the unknown number is reduced to 1 :
      x = -
1374
961
 ÷
2618
961
        = -
1374
961
 ×
961
2618
        = - 687 ×
1
1309

    We obtained :
      x = -
687
1309
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 0.524828



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