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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 10/89.14+X/200+(77.2-X)/127.5 = 0.6 .
    Question type: Equation
    Solution:Original question:
     10 ÷
4457
50
+ X ÷ 200 + (
386
5
X ) ÷
255
2
=
3
5
     Left side of the equation =
500
4457
+ X ×
1
200
+ (
386
5
X ) ×
2
255
    The equation is transformed into :
     
500
4457
+
1
200
X + (
386
5
X ) ×
2
255
=
3
5
    Remove the bracket on the left of the equation:
     Left side of the equation =
500
4457
+
1
200
X +
386
5
×
2
255
X ×
2
255
                                             =
500
4457
+
1
200
X +
772
1275
X ×
2
255
                                             =
4078304
5682675
29
10200
X
    The equation is transformed into :
     
4078304
5682675
29
10200
X =
3
5

    Transposition :
      -
29
10200
X =
3
5
4078304
5682675

    Combine the items on the right of the equation:
      -
29
10200
X = -
668699
5682675

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
668699
5682675
=
29
10200
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 :
     
29
10200
X =
668699
5682675

    The coefficient of the unknown number is reduced to 1 :
      X =
668699
5682675
÷
29
10200
        =
668699
5682675
×
10200
29
        =
668699
75769
×
136
29

    We obtained :
      X =
90943064
2197301
    This is the solution of the equation.

    By reducing fraction, we can get:
      X =
5349592
129253

    Convert the result to decimal form :
      X = 41.388533



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