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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 11/115+6/44.7+9/45.2+X/1000+(60.2-X)/127.5 = 0.6 .
    Question type: Equation
    Solution:Original question:
     11 ÷ 115 + 6 ÷
447
10
+ 9 ÷
226
5
+ X ÷ 1000 + (
301
5
X ) ÷
255
2
=
3
5
     Left side of the equation =
11
115
+
20
149
+
45
226
+ X ×
1
1000
+ (
301
5
X ) ×
2
255
                                             =
1661289
3872510
+
1
1000
X + (
301
5
X ) ×
2
255
    The equation is transformed into :
     
1661289
3872510
+
1
1000
X + (
301
5
X ) ×
2
255
=
3
5
    Remove the bracket on the left of the equation:
     Left side of the equation =
1661289
3872510
+
1
1000
X +
301
5
×
2
255
X ×
2
255
                                             =
1661289
3872510
+
1
1000
X +
602
1275
X ×
2
255
                                             =
889878899
987490050
349
51000
X
    The equation is transformed into :
     
889878899
987490050
349
51000
X =
3
5

    Transposition :
      -
349
51000
X =
3
5
889878899
987490050

    Combine the items on the right of the equation:
      -
349
51000
X = -
297384869
987490050

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
297384869
987490050
=
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 =
297384869
987490050

    The coefficient of the unknown number is reduced to 1 :
      X =
297384869
987490050
÷
349
51000
        =
297384869
987490050
×
51000
349
        =
297384869
387251
×
20
349

    We obtained :
      X =
5947697380
135150599
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 44.007925



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