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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 10/115+6/44.7+9/45.2+X/1000+（61.2-X）/127.5 = 0.6 .
    Question type: Equation
    Solution:Original question:
     10 ÷ 115 + 6 ÷
447
10
 + 9 ÷
226
5
 + X ÷ 1000 + (
306
5
 − X ) ÷
255
2
 =
3
5
     Left side of the equation =
2
23
 +
20
149
 +
45
226
 + X ×
1
1000
 + (
306
5
 − X ) ×
2
255
                                             =
325523
774502
 +
1
1000
 X + (
306
5
 − X ) ×
2
255
    The equation is transformed into :
     
325523
774502
 +
1
1000
 X + (
306
5
 − X ) ×
2
255
 =
3
5
    Remove the bracket on the left of the equation:
     Left side of the equation =
325523
774502
 +
1
1000
 X +
306
5
 ×
2
255
 − X ×
2
255
                                             =
325523
774502
 +
1
1000
 X +
12
25
 − X ×
2
255
                                             =
17432099
19362550
 −
349
51000
 X
    The equation is transformed into :
     
17432099
19362550
 −
349
51000
 X =
3
5

    Transposition :
      -
349
51000
 X =
3
5
 −
17432099
19362550

    Combine the items on the right of the equation:
      -
349
51000
 X = -
5814569
19362550

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
5814569
19362550
 =
349
51000
 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 :
     
349
51000
 X =
5814569
19362550

    The coefficient of the unknown number is reduced to 1 :
      X =
5814569
19362550
 ÷
349
51000
        =
5814569
19362550
 ×
51000
349
        =
5814569
387251
 ×
1020
349

    We obtained :
      X =
5930860380
135150599
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 43.883345



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