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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 (18590+x)*331.163+(18270+x)*329.637+(18140+x)*494.258+(18100+x)*440.98+(18500+x)*770.114 = 50839678.82 .
    Question type: Equation
    Solution:Original question:
     (18590 + x ) ×
331163
1000
+ (18270 + x ) ×
329637
1000
+ (18140 + x ) ×
247129
500
+ (18100 + x ) ×
22049
50
+ (18500 + x ) ×
385057
500
=
2541983941
50
    Remove the bracket on the left of the equation:
     Left side of the equation = 18590 ×
331163
1000
+ x ×
331163
1000
+ (18270 + x ) ×
329637
1000
+ (18140 + x ) ×
247129
500
+ (18100 + x ) ×
22049
50
+ (18500 + x ) ×
385057
500
                                             =
615632017
100
+ x ×
331163
1000
+ (18270 + x ) ×
329637
1000
+ (18140 + x ) ×
247129
500
+ (18100 + x ) ×
22049
50
+ (18500 + x ) ×
385057
500
                                             =
615632017
100
+
331163
1000
x + 18270 ×
329637
1000
+ x ×
329637
1000
+ (18140 + x ) ×
247129
500
+ (18100 + x ) ×
22049
50
+ (18500 + x )
                                             =
615632017
100
+
331163
1000
x +
602246799
100
+ x ×
329637
1000
+ (18140 + x ) ×
247129
500
+ (18100 + x ) ×
22049
50
+ (18500 + x ) ×
385057
500
                                             =
304469704
25
+
3304
5
x + (18140 + x ) ×
247129
500
+ (18100 + x ) ×
22049
50
+ (18500 + x ) ×
385057
500
                                             =
304469704
25
+
3304
5
x + 18140 ×
247129
500
+ x ×
247129
500
+ (18100 + x ) ×
22049
50
+ (18500 + x ) ×
385057
500
                                             =
304469704
25
+
3304
5
x +
224146003
25
+ x ×
247129
500
+ (18100 + x ) ×
22049
50
+ (18500 + x ) ×
385057
500
                                             =
528615707
25
+
577529
500
x + (18100 + x ) ×
22049
50
+ (18500 + x ) ×
385057
500
                                             =
528615707
25
+
577529
500
x + 18100 ×
22049
50
+ x ×
22049
50
+ (18500 + x ) ×
385057
500
                                             =
528615707
25
+
577529
500
x + 7981738 + x ×
22049
50
+ (18500 + x ) ×
385057
500
                                             =
728159157
25
+
798019
500
x + (18500 + x ) ×
385057
500
                                             =
728159157
25
+
798019
500
x + 18500 ×
385057
500
+ x ×
385057
500
                                             =
728159157
25
+
798019
500
x + 14247109 + x ×
385057
500
                                             =
1084336882
25
+
295769
125
x
    The equation is transformed into :
     
1084336882
25
+
295769
125
x =
2541983941
50

    Transposition :
     
295769
125
x =
2541983941
50
1084336882
25

    Combine the items on the right of the equation:
     
295769
125
x =
373310177
50

    The coefficient of the unknown number is reduced to 1 :
      x =
373310177
50
÷
295769
125
        =
373310177
50
×
125
295769
        =
373310177
2
×
5
295769

    We obtained :
      x =
1866550885
591538
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 3155.420083



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