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On line Solution of Monovariate Equation:
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    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 x-(x/1.01*0.01)-(x/1.01*0.01*0.07/2)-{x-(x/1.01*0.01)-(x/1.01*0.01*0.07/2)}*0.24-2000 = 25000 .
    Question type: Equation
    Solution:Original question:
      x ( x ÷
101
100
×
1
100
)( x ÷
101
100
×
1
100
×
7
100
÷ 2)( x ( x ÷
101
100
×
1
100
)( x ÷
101
100
×
1
100
×
7
100
÷ 2)) ×
6
25
2000 = 25000
    Remove the bracket on the left of the equation:
     Left side of the equation = x x ÷
101
100
×
1
100
( x ÷
101
100
×
1
100
×
7
100
÷ 2)( x ( x ÷
101
100
×
1
100
)( x ÷
101
100
×
1
100
×
7
100
÷ 2)) ×
6
25
2000
                                             = x x ×
1
101
( x ÷
101
100
×
1
100
×
7
100
÷ 2)( x ( x ÷
101
100
×
1
100
)( x ÷
101
100
×
1
100
×
7
100
÷ 2)) ×
6
25
2000
                                             =
100
101
x ( x ÷
101
100
×
1
100
×
7
100
÷ 2)( x ( x ÷
101
100
×
1
100
)( x ÷
101
100
×
1
100
×
7
100
÷ 2)) ×
6
25
2000
                                             =
100
101
x x ÷
101
100
×
1
100
×
7
100
÷ 2( x ( x ÷
101
100
×
1
100
)( x ÷
101
100
×
1
100
×
7
100
÷ 2)) ×
6
25
2000
                                             =
100
101
x x ×
7
20200
( x ( x ÷
101
100
×
1
100
)( x ÷
101
100
×
1
100
×
7
100
÷ 2)) ×
6
25
2000
                                             =
19993
20200
x ( x ( x ÷
101
100
×
1
100
)( x ÷
101
100
×
1
100
×
7
100
÷ 2)) ×
6
25
2000
                                             =
19993
20200
x x ×
6
25
+ ( x ÷
101
100
×
1
100
) ×
6
25
+ ( x ÷
101
100
×
1
100
×
7
100
÷ 2) ×
6
25
2000
                                             =
3029
4040
x + ( x ÷
101
100
×
1
100
) ×
6
25
+ ( x ÷
101
100
×
1
100
×
7
100
÷ 2) ×
6
25
2000
                                             =
3029
4040
x + x ÷
101
100
×
1
100
×
6
25
+ ( x ÷
101
100
×
1
100
×
7
100
÷ 2) ×
6
25
2000
                                             =
3029
4040
x + x ×
6
2525
+ ( x ÷
101
100
×
1
100
×
7
100
÷ 2) ×
6
25
2000
                                             =
15193
20200
x + ( x ÷
101
100
×
1
100
×
7
100
÷ 2) ×
6
25
2000
                                             =
15193
20200
x + x ÷
101
100
×
1
100
×
7
100
÷ 2 ×
6
25
2000
                                             =
15193
20200
x + x ×
21
252500
2000
                                             =
379867
505000
x 2000
    The equation is transformed into :
     
379867
505000
x 2000 = 25000

    Transposition :
     
379867
505000
x = 25000 + 2000

    Combine the items on the right of the equation:
     
379867
505000
x = 27000

    The coefficient of the unknown number is reduced to 1 :
      x = 27000 ÷
379867
505000
        = 27000 ×
505000
379867

    We obtained :
      x =
13635000000
379867
    This is the solution of the equation.



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