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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 x-x/1.05*1.12-x*0.05%-(x-x/1.05)*5%-{x-x/1.05*1.12-x*0.05%-(x-x/1.05)*5%}*25% = 4500 .
    Question type: Equation
    Solution:Original question:
      x x ÷
21
20
×
28
25
x ×
1
2000
( x x ÷
21
20
) ×
5
100
( x x ÷
21
20
×
28
25
x ×
1
2000
( x x ÷
21
20
) ×
5
100
) ×
25
100
= 4500
     Left side of the equation = x x ×
16
15
x ×
1
2000
( x x ÷
21
20
) ×
5
100
( x x ÷
21
20
×
28
25
x ×
1
2000
( x x ÷
21
20
) ×
5
100
) ×
25
100
                                             = -
403
6000
x ( x x ÷
21
20
) ×
5
100
( x x ÷
21
20
×
28
25
x ×
1
2000
( x x ÷
21
20
) ×
5
100
) ×
25
100
    The equation is transformed into :
      -
403
6000
x ( x x ÷
21
20
) ×
5
100
( x x ÷
21
20
×
28
25
x ×
1
2000
( x x ÷
21
20
) ×
5
100
) ×
25
100
= 4500
    Remove the bracket on the left of the equation:
     Left side of the equation = -
403
6000
x x ×
5
100
+ x ÷
21
20
×
5
100
( x x ÷
21
20
×
28
25
x ×
1
2000
( x x ÷
21
20
) ×
5
100
) ×
25
100
                                             = -
403
6000
x x ×
5
100
+ x ×
1
21
( x x ÷
21
20
×
28
25
x ×
1
2000
( x x ÷
21
20
) ×
5
100
) ×
25
100
                                             = -
2921
42000
x ( x x ÷
21
20
×
28
25
x ×
1
2000
( x x ÷
21
20
) ×
5
100
) ×
25
100
                                             = -
2921
42000
x x ×
25
100
+ x ÷
21
20
×
28
25
×
25
100
+ x ×
1
2000
×
25
100
+ ( x x ÷
21
20
)
                                             = -
2921
42000
x x ×
25
100
+ x ×
4
15
+ x ×
1
8000
+ ( x x ÷
21
20
) ×
1
80
                                             = -
8863
168000
x + ( x x ÷
21
20
) ×
1
80
                                             = -
8863
168000
x + x ×
1
80
x ÷
21
20
×
1
80
                                             = -
8863
168000
x + x ×
1
80
x ×
1
84
                                             = -
2921
56000
x
    The equation is transformed into :
      -
2921
56000
x = 4500

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      - 4500 =
2921
56000
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 :
     
2921
56000
x = - 4500

    The coefficient of the unknown number is reduced to 1 :
      x = - 4500 ÷
2921
56000
        = - 4500 ×
56000
2921

    We obtained :
      x = -
252000000
2921
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 86271.824718



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