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 300000 = (x-26)*8*7*80+(1.5x-35)*8*7*40+(x-26)*12*7*70%*80+(1.5x-35)*12*7*60%+(1.5x-35)*16*12*7+(x-26)*18*12*7-713000 .
    Question type: Equation
    Solution:Original question:
     300000 = ( x 26) × 8 × 7 × 80 + (
3
2
x 35) × 8 × 7 × 40 + ( x 26) × 12 × 7 ×
70
100
     Right side of the equation = ( x 26) × 4480 + (
3
2
x 35) × 2240 + ( x 26) × 4704 + (
3
2
x 35) ×
252
5
+ (
3
2
x 35) × 1344 + ( x 26) × 1512
    The equation is transformed into :
     300000 = ( x 26) × 4480 + (
3
2
x 35) × 2240 + ( x 26) × 4704 + (
3
2
x 35) ×
252
5
+ (
3
2
x 35) × 1344 + ( x 26) × 1512
    Remove the bracket on the right of the equation:
     Right side of the equation = x × 448026 × 4480 + (
3
2
x 35) × 2240 + ( x 26) × 4704 + (
3
2
x 35) ×
252
5
+ (
3
2
x 35) × 1344
                                               = x × 4480116480 + (
3
2
x 35) × 2240 + ( x 26) × 4704 + (
3
2
x 35) ×
252
5
+ (
3
2
x 35) × 1344 + ( x 26)
                                               = 4480 x 829480 + (
3
2
x 35) × 2240 + ( x 26) × 4704 + (
3
2
x 35) ×
252
5
+ (
3
2
x 35) × 1344 + ( x 26)
                                               = 4480 x 829480 +
3
2
x × 224035 × 2240 + ( x 26) × 4704 + (
3
2
x 35) ×
252
5
                                               = 4480 x 829480 + 3360 x 78400 + ( x 26) × 4704 + (
3
2
x 35) ×
252
5
+ (
3
2
x 35) × 1344
                                               = 7840 x 907880 + ( x 26) × 4704 + (
3
2
x 35) ×
252
5
+ (
3
2
x 35) × 1344 + ( x 26) × 1512
                                               = 7840 x 907880 + x × 470426 × 4704 + (
3
2
x 35) ×
252
5
+ (
3
2
x 35) × 1344 + ( x 26)
                                               = 7840 x 907880 + x × 4704122304 + (
3
2
x 35) ×
252
5
+ (
3
2
x 35) × 1344 + ( x 26) × 1512
                                               = 12544 x 1030184 + (
3
2
x 35) ×
252
5
+ (
3
2
x 35) × 1344 + ( x 26) × 1512
                                               = 12544 x 1030184 +
3
2
x ×
252
5
35 ×
252
5
+ (
3
2
x 35) × 1344 + ( x 26) × 1512
                                               = 12544 x 1030184 +
378
5
x 1764 + (
3
2
x 35) × 1344 + ( x 26) × 1512
                                               =
63098
5
x 1031948 + (
3
2
x 35) × 1344 + ( x 26) × 1512
                                               =
63098
5
x 1031948 +
3
2
x × 134435 × 1344 + ( x 26) × 1512
                                               =
63098
5
x 1031948 + 2016 x 47040 + ( x 26) × 1512
                                               =
73178
5
x 1078988 + ( x 26) × 1512
                                               =
73178
5
x 1078988 + x × 151226 × 1512
                                               =
73178
5
x 1078988 + x × 151239312
                                               =
80738
5
x 1118300
    The equation is transformed into :
     300000 =
80738
5
x 1118300

    Transposition :
      -
80738
5
x = - 1118300300000

    Combine the items on the right of the equation:
      -
80738
5
x = - 1418300

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     1418300 =
80738
5
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 :
     
80738
5
x = 1418300

    The coefficient of the unknown number is reduced to 1 :
      x = 1418300 ÷
80738
5
        = 1418300 ×
5
80738
        = 709150 ×
5
40369

    We obtained :
      x =
3545750
40369
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 87.833486



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。