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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/500+100/108+100/130+10/133.58 = 0.00374(220+X) .
    Question type: Equation
    Solution:Original question:
      X ÷ 500 + 100 ÷ 108 + 100 ÷ 130 + 10 ÷
6679
50
=
187
50000
(220 + X )
     Left side of the equation = X ×
1
500
+
25
27
+
10
13
+
500
6679
                                             =
1
500
X +
4149505
2344329
    The equation is transformed into :
     
1
500
X +
4149505
2344329
=
187
50000
(220 + X )
    Remove the bracket on the right of the equation:
     Right side of the equation =
187
50000
× 220 +
187
50000
X
                                               =
2057
2500
+
187
50000
X
    The equation is transformed into :
     
1
500
X +
4149505
2344329
=
2057
2500
+
187
50000
X

    Transposition :
     
1
500
X
187
50000
X =
2057
2500
4149505
2344329

    Combine the items on the left of the equation:
      -
87
50000
X =
2057
2500
4149505
2344329

    Combine the items on the right of the equation:
      -
87
50000
X = -
5551477747
5860822500

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
5551477747
5860822500
=
87
50000
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 :
     
87
50000
X =
5551477747
5860822500

    The coefficient of the unknown number is reduced to 1 :
      X =
5551477747
5860822500
÷
87
50000
        =
5551477747
5860822500
×
50000
87
        =
5551477747
2344329
×
20
87

    We obtained :
      X =
111029554940
203956623
    This is the solution of the equation.



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