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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 （78.34-X-104.21）/104.21 = （238.05+X-447.19)/447.19 .
    Question type: Equation
    Solution:Original question:
     (
3917
50
 − X −
10421
100
) ÷
10421
100
 = (
4761
20
 + X −
44719
100
) ÷
44719
100
    Remove the bracket on the left of the equation:
     Left side of the equation =
3917
50
 ×
100
10421
 − X ×
100
10421
 −
10421
100
 ×
100
10421
                                             =
7834
10421
 − X ×
100
10421
 − 1
                                             = -
2587
10421
 −
100
10421
 X
    The equation is transformed into :
      -
2587
10421
 −
100
10421
 X = (
4761
20
 + X −
44719
100
) ÷
44719
100
    Remove the bracket on the right of the equation:
     Right side of the equation =
4761
20
 ×
100
44719
 + X ×
100
44719
 −
44719
100
 ×
100
44719
                                               =
23805
44719
 + X ×
100
44719
 − 1
                                               = -
20914
44719
 +
100
44719
 X
    The equation is transformed into :
      -
2587
10421
 −
100
10421
 X = -
20914
44719
 +
100
44719
 X

    Transposition :
      -
100
10421
 X −
100
44719
 X = -
20914
44719
 +
2587
10421

    Combine the items on the left of the equation:
      -
5514000
466016699
 X = -
20914
44719
 +
2587
10421

    Combine the items on the right of the equation:
      -
5514000
466016699
 X = -
102256741
466016699

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
102256741
466016699
 =
5514000
466016699
 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 :
     
5514000
466016699
 X =
102256741
466016699

    The coefficient of the unknown number is reduced to 1 :
      X =
102256741
466016699
 ÷
5514000
466016699
        =
102256741
466016699
 ×
466016699
5514000
        =
102256741
613
 ×
613
5514000

    We obtained :
      X =
62683382233
3380082000
    This is the solution of the equation.



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