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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/1000+10/102+（78-X）/45.2+5/44.7 = 0.566 .
    Question type: Equation
    Solution:Original question:
      X ÷ 1000 + 10 ÷ 102 + (78 − X ) ÷
226
5
 + 5 ÷
447
10
 =
283
500
     Left side of the equation = X ×
1
1000
 +
5
51
 + (78 − X ) ×
5
226
 +
50
447
                                             =
1
1000
 X +
1595
7599
 + (78 − X ) ×
5
226
    The equation is transformed into :
     
1
1000
 X +
1595
7599
 + (78 − X ) ×
5
226
 =
283
500
    Remove the bracket on the left of the equation:
     Left side of the equation =
1
1000
 X +
1595
7599
 + 78 ×
5
226
 − X ×
5
226
                                             =
1
1000
 X +
1595
7599
 +
195
113
 − X ×
5
226
                                             = -
2387
113000
 X +
1662040
858687
    The equation is transformed into :
      -
2387
113000
 X +
1662040
858687
 =
283
500

    Transposition :
      -
2387
113000
 X =
283
500
 −
1662040
858687

    Combine the items on the right of the equation:
      -
2387
113000
 X = -
588011579
429343500

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
588011579
429343500
 =
2387
113000
 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 :
     
2387
113000
 X =
588011579
429343500

    The coefficient of the unknown number is reduced to 1 :
      X =
588011579
429343500
 ÷
2387
113000
        =
588011579
429343500
 ×
113000
2387
        =
588011579
858687
 ×
226
2387

    We obtained :
      X =
132890616854
2049685869
    This is the solution of the equation.



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