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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*1.1）-（（x/1.01*0.99）-524-（x/1.01*0.01*0.1））/（524+x/1.01*0.01*0.1）*30%-（（x/1.01*0.99）-524-x/1.01*0.01*0.1）*0.2-5x/10000 = 680 .
    Question type: Equation
    Solution:Original question:
      x − ( x ÷
101
100
 ×
1
100
 ×
11
10
) − (( x ÷
101
100
 ×
99
100
) − 524 − ( x ÷
101
100
 ×
1
100
 ×
1
10
)) ÷ (524 + x ÷
101
100
 ×
1
100
 ×
1
10
) ×
30
100
 − (( x ÷
101
100
 ×
99
100
) − 524 − x ÷
101
100
 ×
1
100
 ×
1
10
) ×
1
5
 − 5 x ÷ 10000 = 680
     Multiply both sides of the equation by:(524 + x ÷
101
100
 ×
1
100
 ×
1
10
)
      x (524 + x ÷
101
100
 ×
1
100
 ×
1
10
) − ( x ÷
101
100
 ×
1
100
 ×
11
10
)(524 + x ÷
101
100
 ×
1
100
 ×
1
10
) − (( x ÷
101
100
 ×
99
100
) − 524 − ( x ÷
101
100
 ×
1
100
 ×
1
10
)) ×
30
100
 − (( x ÷
101
100
 ×
99
100
) − 524 − x ÷
101
100
 ×
1
100
 ×
1
10
) ×
1
5
(524 + x ÷
101
100
 ×
1
100
 ×
1
10
) − 5 x ÷ 10000 = 680(524 + x ÷
101
100
 ×
1
100
 ×
1
10
)
    Remove a bracket on the left of the equation:：
      x × 524 + x x ÷
101
100
 ×
1
100
 ×
1
10
 − ( x ÷
101
100
 ×
1
100
 ×
11
10
)(524 + x ÷
101
100
 ×
1
100
 ×
1
10
) − (( x ÷
101
100
 ×
99
100
) − 524 − ( x ÷
101
100
 ×
1
100
 ×
1
10
)) ×
30
100
 − (( x ÷
101
100
 ×
99
100
) − 524 − x ÷
101
100
 ×
1
100
 ×
1
10
) = 680(524 + x ÷
101
100
 ×
1
100
 ×
1
10
)
    Remove a bracket on the right of the equation:：
      x × 524 + x x ÷
101
100
 ×
1
100
 ×
1
10
 − ( x ÷
101
100
 ×
1
100
 ×
11
10
)(524 + x ÷
101
100
 ×
1
100
 ×
1
10
) − (( x ÷
101
100
 ×
99
100
) − 524 − ( x ÷
101
100
 ×
1
100
 ×
1
10
)) ×
30
100
 − (( x ÷
101
100
 ×
99
100
) − 524 − x ÷
101
100
 ×
1
100
 ×
1
10
) = 680 × 524 + 680 x ÷
101
100
 ×
1
100
 ×
1
10
    The equation is reduced to :
      x × 524 + x x ×
1
1010
 − ( x ÷
101
100
 ×
1
100
 ×
11
10
)(524 + x ÷
101
100
 ×
1
100
 ×
1
10
) − (( x ÷
101
100
 ×
99
100
) − 524 − ( x ÷
101
100
 ×
1
100
 ×
1
10
)) ×
30
100
 − (( x ÷
101
100
 ×
99
100
) − 524 − x ÷
101
100
 ×
1
100
 ×
1
10
) ×
1
5
(524 + x ÷
101
100
 ×
1
100
 ×
1
10
) = 356320 +
68
101
 x
    Remove a bracket on the left of the equation:
     524 x + x x ×
1
1010
 − x ÷
101
100
 ×
1
100
 ×
11
10
(524 + x ÷
101
100
 ×
1
100
 ×
1
10
) − (( x ÷
101
100
 ×
99
100
) − 524 − ( x ÷
101
100
 ×
1
100
 ×
1
10
)) ×
30
100
 = 356320 +
68
101
 x
    The equation is reduced to :
     524 x + x x ×
1
1010
 − x ×
11
1010
(524 + x ÷
101
100
 ×
1
100
 ×
1
10
) − (( x ÷
101
100
 ×
99
100
) − 524 − ( x ÷
101
100
 ×
1
100
 ×
1
10
)) ×
30
100
 − (( x ÷
101
100
 ×
99
100
) − 524 − x ÷
101
100
 ×
1
100
 ×
1
10
) ×
1
5
 = 356320 +
68
101
 x
    Remove a bracket on the left of the equation:
     524 x + x x ×
1
1010
 − x ×
11
1010
 × 524 − x ×
11
1010
 x ÷
101
100
 = 356320 +
68
101
 x
    The equation is reduced to :
     524 x + x x ×
1
1010
 − x ×
2882
505
 − x ×
11
1020100
 x − (( x ÷
101
100
 ×
99
100
) − 524 − ( x ÷
101
100
 ×
1
100
 ×
1
10
)) ×
30
100
 = 356320 +
68
101
 x
    The equation is reduced to :
     
261738
505
 x + x x ×
1
1010
 − x ×
11
1020100
 x − (( x ÷
101
100
 ×
99
100
) − 524 − ( x ÷
101
100
 ×
1
100
 ×
1
10
)) ×
30
100
 − (( x ÷
101
100
 ×
99
100
) − 524 − x ÷
101
100
 ×
1
100
 ×
1
10
) ×
1
5
 = 356320 +
68
101
 x
    Remove a bracket on the left of the equation:
     
261738
505
 x + x x ×
1
1010
 − x ×
11
1020100
 x − ( x ÷
101
100
 ×
99
100
) ×
30
100
 + 524 ×
30
100
 = 356320 +
68
101
 x
    The equation is reduced to :
     
261738
505
 x + x x ×
1
1010
 − x ×
11
1020100
 x − ( x ÷
101
100
 ×
99
100
) ×
30
100
 +
786
5
 + ( x ÷
101
100
 ×
1
100
 ×
1
10
) = 356320 +
68
101
 x
    Remove a bracket on the left of the equation:
     
261738
505
 x + x x ×
1
1010
 − x ×
11
1020100
 x − x ÷
101
100
 ×
99
100
 ×
30
100
 = 356320 +
68
101
 x
    The equation is reduced to :
     
261738
505
 x + x x ×
1
1010
 − x ×
11
1020100
 x − x ×
297
1010
 +
786
5
 + ( x ÷
101
100
 ×
1
100
 ×
1
10
) = 356320 +
68
101
 x
    The equation is reduced to :
     
523179
1010
 x + x x ×
1
1010
 − x ×
11
1020100
 x +
786
5
 + ( x ÷
101
100
 ×
1
100
 ×
1
10
) ×
30
100
 − (( x ÷
101
100
 ×
99
100
) − 524 − x ÷
101
100
 ×
1
100
 ×
1
10
) = 356320 +
68
101
 x
    Remove a bracket on the left of the equation:
     
523179
1010
 x + x x ×
1
1010
 − x ×
11
1020100
 x +
786
5
 + x ÷
101
100
 ×
1
100
 = 356320 +
68
101
 x
    The equation is reduced to :
     
523179
1010
 x + x x ×
1
1010
 − x ×
11
1020100
 x +
786
5
 + x ×
3
10100
 − (( x ÷
101
100
 ×
99
100
) − 524 − x ÷
101
100
 ×
1
100
 ×
1
10
) = 356320 +
68
101
 x
    The equation is reduced to :
     
5231793
10100
 x + x x ×
1
1010
 − x ×
11
1020100
 x +
786
5
 − (( x ÷
101
100
 ×
99
100
) − 524 − x ÷
101
100
 ×
1
100
 ×
1
10
) ×
1
5
(524 + x ÷
101
100
 ×
1
100
 ×
1
10
) = 356320 +
68
101
 x
    Remove a bracket on the left of the equation:
     
5231793
10100
 x + x x ×
1
1010
 − x ×
11
1020100
 x +
786
5
 − ( x ÷
101
100
 ×
99
100
) ×
1
5
(524 + x ÷
101
100
 ×
1
100
 ×
1
10
) = 356320 +
68
101
 x
    The equation is reduced to :
     
5231793
10100
 x + x x ×
1
1010
 − x ×
11
1020100
 x +
786
5
 − ( x ÷
101
100
 ×
99
100
) ×
1
5
(524 + x ÷
101
100
 ×
1
100
 ×
1
10
) = 356320 +
68
101
 x
    Remove a bracket on the left of the equation:
     
5231793
10100
 x + x x ×
1
1010
 − x ×
11
1020100
 x +
786
5
 − x ÷
101
100
 ×
99
100
 = 356320 +
68
101
 x
    The equation is reduced to :
     
5231793
10100
 x + x x ×
1
1010
 − x ×
11
1020100
 x +
786
5
 − x ×
99
505
(524 + x ÷
101
100
 ×
1
100
 ×
1
10
) = 356320 +
68
101
 x
    Remove a bracket on the left of the equation:
     
5231793
10100
 x + x x ×
1
1010
 − x ×
11
1020100
 x +
786
5
 − x ×
99
505
 × 524 = 356320 +
68
101
 x
    The equation is reduced to :
     
5231793
10100
 x + x x ×
1
1010
 − x ×
11
1020100
 x +
786
5
 − x ×
51876
505
 − x = 356320 +
68
101
 x
    The equation is reduced to :
     
4194273
10100
 x + x x ×
1
1010
 − x ×
11
1020100
 x +
786
5
 − x ×
99
510050
 x = 356320 +
68
101
 x

    
        x≈725.694248 , keep 6 decimal places    
    There are 1 solution(s).

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