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 6[34.936(x-298)}+30[-393546+54.36(x-298)]+24[-241845+41.3315(x-298)]+38*32.762*(x-298) = -24663862 .
    Question type: Equation
    Solution:Original question:
     6(
4367
125
( x - 298)) + 30( - 393546 +
1359
25
( x - 298)) + 24( - 241845 +
82663
2000
( x - 298)) + 38 ×
16381
500
( x - 298) = - 24663862
     Left side of the equation = 6(
4367
125
( x - 298)) + 30( - 393546 +
1359
25
( x - 298)) + 24( - 241845 +
82663
2000
( x - 298)) +
311239
250
( x - 298)
    The equation is transformed into :
     6(
4367
125
( x - 298)) + 30( - 393546 +
1359
25
( x - 298)) + 24( - 241845 +
82663
2000
( x - 298)) +
311239
250
( x - 298) = - 24663862
    Remove the bracket on the left of the equation:
     Left side of the equation = 6 ×
4367
125
( x - 298) + 30( - 393546 +
1359
25
( x - 298)) + 24( - 241845 +
82663
2000
( x - 298)) +
311239
250
( x - 298)
                                             =
26202
125
( x - 298) + 30( - 393546 +
1359
25
( x - 298)) + 24( - 241845 +
82663
2000
( x - 298)) +
311239
250
( x - 298)
                                             =
26202
125
x -
26202
125
× 298 + 30( - 393546 +
1359
25
( x - 298)) + 24( - 241845 +
82663
2000
( x - 298)) +
311239
250
( x - 298)
                                             =
26202
125
x -
7808196
125
+ 30( - 393546 +
1359
25
( x - 298)) + 24( - 241845 +
82663
2000
( x - 298)) +
311239
250
( x - 298)
                                             =
26202
125
x -
7808196
125
- 30 × 393546 + 30 ×
1359
25
( x - 298) + 24( - 241845 +
82663
2000
( x - 298)) +
311239
250
( x - 298)
                                             =
26202
125
x -
7808196
125
- 11806380 +
8154
5
( x - 298) + 24( - 241845 +
82663
2000
( x - 298)) +
311239
250
( x - 298)
                                             =
26202
125
x -
1483605696
125
+
8154
5
( x - 298) + 24( - 241845 +
82663
2000
( x - 298)) +
311239
250
( x - 298)
                                             =
26202
125
x -
1483605696
125
+
8154
5
x -
8154
5
× 298 + 24( - 241845 +
82663
2000
( x - 298)) +
311239
250
( x - 298)
                                             =
26202
125
x -
1483605696
125
+
8154
5
x -
2429892
5
+ 24( - 241845 +
82663
2000
( x - 298)) +
311239
250
( x - 298)
                                             =
230052
125
x -
1544352996
125
+ 24( - 241845 +
82663
2000
( x - 298)) +
311239
250
( x - 298)
                                             =
230052
125
x -
1544352996
125
- 24 × 241845 + 24 ×
82663
2000
( x - 298) +
311239
250
( x - 298)
                                             =
230052
125
x -
1544352996
125
- 5804280 +
247989
250
( x - 298) +
311239
250
( x - 298)
                                             =
230052
125
x -
2269887996
125
+
247989
250
( x - 298) +
311239
250
( x - 298)
                                             =
230052
125
x -
2269887996
125
+
247989
250
x -
247989
250
× 298 +
311239
250
( x - 298)
                                             =
230052
125
x -
2269887996
125
+
247989
250
x -
36950361
125
+
311239
250
( x - 298)
                                             =
708093
250
x -
2306838357
125
+
311239
250
( x - 298)
                                             =
708093
250
x -
2306838357
125
+
311239
250
x -
311239
250
× 298
                                             =
708093
250
x -
2306838357
125
+
311239
250
x -
46374611
125
                                             =
509666
125
x -
2353212968
125
    The equation is transformed into :
     
509666
125
x -
2353212968
125
= - 24663862

    Transposition :
     
509666
125
x = - 24663862 +
2353212968
125

    Combine the items on the right of the equation:
     
509666
125
x = -
729769782
125

    The coefficient of the unknown number is reduced to 1 :
      x = -
729769782
125
÷
509666
125
        = -
729769782
125
×
125
509666
        = - 364884891 ×
1
254833

    Get the solution of the equation :
      x = -
364884891
254833

    Convert the result to decimal form :
      x = - 1431.858868



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。