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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.
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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+(X/1.01*0.01))-(X+(X/1.01*0.01))*0.2)*0.2 = 6000 .
    Question type: Equation
    Solution:Original question:
      X + ( X ÷
101
100
×
1
100
) + (( X + ( X ÷
101
100
×
1
100
))( X + ( X ÷
101
100
×
1
100
)) ×
1
5
) ×
1
5
= 6000
    Remove the bracket on the left of the equation:
     Left side of the equation = X + X ÷
101
100
×
1
100
+ (( X + ( X ÷
101
100
×
1
100
))( X + ( X ÷
101
100
×
1
100
)) ×
1
5
) ×
1
5
                                             = X + X ×
1
101
+ (( X + ( X ÷
101
100
×
1
100
))( X + ( X ÷
101
100
×
1
100
)) ×
1
5
) ×
1
5
                                             =
102
101
X + (( X + ( X ÷
101
100
×
1
100
))( X + ( X ÷
101
100
×
1
100
)) ×
1
5
) ×
1
5
                                             =
102
101
X + ( X + ( X ÷
101
100
×
1
100
)) ×
1
5
( X + ( X ÷
101
100
×
1
100
)) ×
1
5
×
1
5
                                             =
102
101
X + ( X + ( X ÷
101
100
×
1
100
)) ×
1
5
( X + ( X ÷
101
100
×
1
100
)) ×
1
25
                                             =
102
101
X + X ×
1
5
+ ( X ÷
101
100
×
1
100
) ×
1
5
( X + ( X ÷
101
100
×
1
100
)) ×
1
25
                                             =
611
505
X + ( X ÷
101
100
×
1
100
) ×
1
5
( X + ( X ÷
101
100
×
1
100
)) ×
1
25
                                             =
611
505
X + X ÷
101
100
×
1
100
×
1
5
( X + ( X ÷
101
100
×
1
100
)) ×
1
25
                                             =
611
505
X + X ×
1
505
( X + ( X ÷
101
100
×
1
100
)) ×
1
25
                                             =
612
505
X ( X + ( X ÷
101
100
×
1
100
)) ×
1
25
                                             =
612
505
X X ×
1
25
( X ÷
101
100
×
1
100
) ×
1
25
                                             =
2959
2525
X ( X ÷
101
100
×
1
100
) ×
1
25
                                             =
2959
2525
X X ÷
101
100
×
1
100
×
1
25
                                             =
2959
2525
X X ×
1
2525
                                             =
2958
2525
X
    The equation is transformed into :
     
2958
2525
X = 6000

    The coefficient of the unknown number is reduced to 1 :
      X = 6000 ÷
2958
2525
        = 6000 ×
2525
2958
        = 1000 ×
2525
493

    We obtained :
      X =
2525000
493
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 5121.703854



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