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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 10/102+6/44.7+8/45.1+(62.2-X)/127.5+X/1000 = 0.61 .
    Question type: Equation
    Solution:Original question:
     10 ÷ 102 + 6 ÷
447
10
+ 8 ÷
451
10
+ (
311
5
X ) ÷
255
2
+ X ÷ 1000 =
61
100
     Left side of the equation =
5
51
+
20
149
+
80
451
+ (
311
5
X ) ×
2
255
+ X ×
1
1000
                                             =
1403935
3427149
+ (
311
5
X ) ×
2
255
+
1
1000
X
    The equation is transformed into :
     
1403935
3427149
+ (
311
5
X ) ×
2
255
+
1
1000
X =
61
100
    Remove the bracket on the left of the equation:
     Left side of the equation =
1403935
3427149
+
311
5
×
2
255
X ×
2
255
+
1
1000
X
                                             =
1403935
3427149
+
622
1275
X ×
2
255
+
1
1000
X
                                             =
25632051
28559575
349
51000
X
    The equation is transformed into :
     
25632051
28559575
349
51000
X =
61
100

    Transposition :
      -
349
51000
X =
61
100
25632051
28559575

    Combine the items on the right of the equation:
      -
349
51000
X = -
32842841
114238300

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
32842841
114238300
=
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 =
32842841
114238300

    The coefficient of the unknown number is reduced to 1 :
      X =
32842841
114238300
÷
349
51000
        =
32842841
114238300
×
51000
349
        =
32842841
67199
×
30
349

    We obtained :
      X =
985285230
23452451
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 42.012037



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