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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 (155+x)×2423.45+(105+x)×693.66+(255+x)×2051.45+(355+x)×5994.55 = 5581555 .
    Question type: Equation
    Solution:Original question:
     (155 + x ) ×
48469
20
+ (105 + x ) ×
34683
50
+ (255 + x ) ×
41029
20
+ (355 + x ) ×
119891
20
= 5581555
    Remove the bracket on the left of the equation:
     Left side of the equation = 155 ×
48469
20
+ x ×
48469
20
+ (105 + x ) ×
34683
50
+ (255 + x ) ×
41029
20
+ (355 + x ) ×
119891
20
                                             =
1502539
4
+ x ×
48469
20
+ (105 + x ) ×
34683
50
+ (255 + x ) ×
41029
20
+ (355 + x ) ×
119891
20
                                             =
1502539
4
+
48469
20
x + 105 ×
34683
50
+ x ×
34683
50
+ (255 + x ) ×
41029
20
+ (355 + x ) ×
119891
20
                                             =
1502539
4
+
48469
20
x +
728343
10
+ x ×
34683
50
+ (255 + x ) ×
41029
20
+ (355 + x ) ×
119891
20
                                             =
8969381
20
+
311711
100
x + (255 + x ) ×
41029
20
+ (355 + x ) ×
119891
20
                                             =
8969381
20
+
311711
100
x + 255 ×
41029
20
+ x ×
41029
20
+ (355 + x ) ×
119891
20
                                             =
8969381
20
+
311711
100
x +
2092479
4
+ x ×
41029
20
+ (355 + x ) ×
119891
20
                                             =
4857944
5
+
129214
25
x + (355 + x ) ×
119891
20
                                             =
4857944
5
+
129214
25
x + 355 ×
119891
20
+ x ×
119891
20
                                             =
4857944
5
+
129214
25
x +
8512261
4
+ x ×
119891
20
                                             =
61993081
20
+
1116311
100
x
    The equation is transformed into :
     
61993081
20
+
1116311
100
x = 5581555

    Transposition :
     
1116311
100
x = 5581555
61993081
20

    Combine the items on the right of the equation:
     
1116311
100
x =
49638019
20

    The coefficient of the unknown number is reduced to 1 :
      x =
49638019
20
÷
1116311
100
        =
49638019
20
×
100
1116311
        = 49638019 ×
5
1116311

    We obtained :
      x =
248190095
1116311
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 222.330601



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