Mathematics
         
语言:中文    Language:English
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 (((5168-X)-6140)/6140)*0.5 = ((1809+X)-3716)/3716 .
    Question type: Equation
    Solution:Original question:
     (((5168 X )6140) ÷ 6140) ×
1
2
= ((1809 + X )3716) ÷ 3716
    Remove the bracket on the left of the equation:
     Left side of the equation = ((5168 X )6140) ÷ 6140 ×
1
2
                                             = ((5168 X )6140) ×
1
12280
                                             = (5168 X ) ×
1
12280
6140 ×
1
12280
                                             = (5168 X ) ×
1
12280
1
2
                                             = 5168 ×
1
12280
X ×
1
12280
1
2
                                             =
646
1535
X ×
1
12280
1
2
                                             = -
243
3070
1
12280
X
    The equation is transformed into :
      -
243
3070
1
12280
X = ((1809 + X )3716) ÷ 3716
    Remove the bracket on the right of the equation:
     Right side of the equation = (1809 + X ) ×
1
3716
3716 ×
1
3716
                                               = (1809 + X ) ×
1
3716
1
                                               = 1809 ×
1
3716
+ X ×
1
3716
1
                                               =
1809
3716
+ X ×
1
3716
1
                                               = -
1907
3716
+
1
3716
X
    The equation is transformed into :
      -
243
3070
1
12280
X = -
1907
3716
+
1
3716
X

    Transposition :
      -
1
12280
X
1
3716
X = -
1907
3716
+
243
3070

    Combine the items on the left of the equation:
      -
3999
11408120
X = -
1907
3716
+
243
3070

    Combine the items on the right of the equation:
      -
3999
11408120
X = -
2475751
5704060

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
2475751
5704060
=
3999
11408120
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 :
     
3999
11408120
X =
2475751
5704060

    The coefficient of the unknown number is reduced to 1 :
      X =
2475751
5704060
÷
3999
11408120
        =
2475751
5704060
×
11408120
3999
        =
2475751
929
×
1858
3999

    We obtained :
      X =
4599945358
3715071
    This is the solution of the equation.

    By reducing fraction, we can get:
      X =
4951502
3999

    Convert the result to decimal form :
      X = 1238.185046



Your problem has not been solved here? Please go to the Hot Problems section!





  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。