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 3472.72*2200+3569.26*(x+30)+3570.33*(x+60)+3702.49*(x+90)+3857.10*(x+120) = 18171.9*1950 .
    Question type: Equation
    Solution:Original question:
     
86818
25
× 2200 +
178463
50
( x + 30) +
357033
100
( x + 60) +
370249
100
( x + 90) +
38571
10
( x + 120) =
181719
10
× 1950
     Left side of the equation = 7639984 +
178463
50
( x + 30) +
357033
100
( x + 60) +
370249
100
( x + 90) +
38571
10
( x + 120)
    The equation is transformed into :
     7639984 +
178463
50
( x + 30) +
357033
100
( x + 60) +
370249
100
( x + 90) +
38571
10
( x + 120) =
181719
10
× 1950
    Remove the bracket on the left of the equation:
     Left side of the equation = 7639984 +
178463
50
x +
178463
50
× 30 +
357033
100
( x + 60) +
370249
100
( x + 90) +
38571
10
( x + 120)
                                             = 7639984 +
178463
50
x +
535389
5
+
357033
100
( x + 60) +
370249
100
( x + 90) +
38571
10
( x + 120)
                                             =
38735309
5
+
178463
50
x +
357033
100
( x + 60) +
370249
100
( x + 90) +
38571
10
( x + 120)
                                             =
38735309
5
+
178463
50
x +
357033
100
x +
357033
100
× 60 +
370249
100
( x + 90) +
38571
10
( x + 120)
                                             =
38735309
5
+
178463
50
x +
357033
100
x +
1071099
5
+
370249
100
( x + 90) +
38571
10
( x + 120)
                                             =
39806408
5
+
713959
100
x +
370249
100
( x + 90) +
38571
10
( x + 120)
                                             =
39806408
5
+
713959
100
x +
370249
100
x +
370249
100
× 90 +
38571
10
( x + 120)
                                             =
39806408
5
+
713959
100
x +
370249
100
x +
3332241
10
+
38571
10
( x + 120)
                                             =
82945057
10
+
271052
25
x +
38571
10
( x + 120)
                                             =
82945057
10
+
271052
25
x +
38571
10
x +
38571
10
× 120
                                             =
82945057
10
+
271052
25
x +
38571
10
x + 462852
                                             =
87573577
10
+
734959
50
x
    The equation is transformed into :
     
87573577
10
+
734959
50
x =
181719
10
× 1950
     Right side of the equation = 35435205
    The equation is transformed into :
     
87573577
10
+
734959
50
x = 35435205

    Transposition :
     
734959
50
x = 35435205
87573577
10

    Combine the items on the right of the equation:
     
734959
50
x =
266778473
10

    The coefficient of the unknown number is reduced to 1 :
      x =
266778473
10
÷
734959
50
        =
266778473
10
×
50
734959
        = 266778473 ×
5
734959

    We obtained :
      x =
1333892365
734959
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 1814.920785



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。