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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)/45.1+5/44.7 = 0.566 .
    Question type: Equation
    Solution:Original question:
      X ÷ 1000 + 10 ÷ 102 + (78 X ) ÷
451
10
+ 5 ÷
447
10
=
283
500
     Left side of the equation = X ×
1
1000
+
5
51
+ (78 X ) ×
10
451
+
50
447
                                             =
1
1000
X +
1595
7599
+ (78 X ) ×
10
451
    The equation is transformed into :
     
1
1000
X +
1595
7599
+ (78 X ) ×
10
451
=
283
500
    Remove the bracket on the left of the equation:
     Left side of the equation =
1
1000
X +
1595
7599
+ 78 ×
10
451
X ×
10
451
                                             =
1
1000
X +
1595
7599
+
780
451
X ×
10
451
                                             = -
9549
451000
X +
6646565
3427149
    The equation is transformed into :
      -
9549
451000
X +
6646565
3427149
=
283
500

    Transposition :
      -
9549
451000
X =
283
500
6646565
3427149

    Combine the items on the right of the equation:
      -
9549
451000
X = -
2353399333
1713574500

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
2353399333
1713574500
=
9549
451000
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 :
     
9549
451000
X =
2353399333
1713574500

    The coefficient of the unknown number is reduced to 1 :
      X =
2353399333
1713574500
÷
9549
451000
        =
2353399333
1713574500
×
451000
9549
        =
2353399333
7599
×
2
9549

    We obtained :
      X =
4706798666
72562851
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 64.865129



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