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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/1.01*0.01*1.1-((X/1.01-523.5-X/1.01*0.01*0.1)/(523.5+X/1.01*0.01*0.1))*30%+(X/1.01-523.5-X/1.01*0.01*0.1)*20%-X*0.0005 = 680 .
    Question type: Equation
    Solution:Original question:
      X − X ÷
101
100
 ×
1
100
 ×
11
10
 − (( X ÷
101
100
 −
1047
2
 − X ÷
101
100
 ×
1
100
 ×
1
10
) ÷ (
1047
2
 + X ÷
101
100
 ×
1
100
 ×
1
10
)) ×
30
100
 + ( X ÷
101
100
 −
1047
2
 − X ÷
101
100
 ×
1
100
 ×
1
10
) ×
20
100
 − X ×
1
2000
 = 680
    Remove a bracket on the left of the equation:：
      X − X ÷
101
100
 ×
1
100
 ×
11
10
 − ( X ÷
101
100
 −
1047
2
 − X ÷
101
100
 ×
1
100
 ×
1
10
) ÷ (
1047
2
 + X ÷
101
100
 ×
1
100
 ×
1
10
) ×
30
100
 + ( X ÷
101
100
 −
1047
2
 − X ÷
101
100
 ×
1
100
 ×
1
10
) ×
20
100
 − X ×
1
2000
 = 680
    The equation is reduced to :
      X − X ×
11
1010
 − ( X ÷
101
100
 −
1047
2
 − X ÷
101
100
 ×
1
100
 ×
1
10
) ÷ (
1047
2
 + X ÷
101
100
 ×
1
100
 ×
1
10
) ×
30
100
 + ( X ÷
101
100
 −
1047
2
 − X ÷
101
100
 ×
1
100
 ×
1
10
) ×
20
100
 − X ×
1
2000
 = 680
    The equation is reduced to :
     
199699
202000
 X − ( X ÷
101
100
 −
1047
2
 − X ÷
101
100
 ×
1
100
 ×
1
10
) ÷ (
1047
2
 + X ÷
101
100
 ×
1
100
 ×
1
10
) ×
30
100
 + ( X ÷
101
100
 −
1047
2
 − X ÷
101
100
 ×
1
100
 ×
1
10
) ×
20
100
 = 680
     Multiply both sides of the equation by:(
1047
2
 + X ÷
101
100
 ×
1
100
 ×
1
10
)
     
199699
202000
 X (
1047
2
 + X ÷
101
100
 ×
1
100
 ×
1
10
) − ( X ÷
101
100
 −
1047
2
 − X ÷
101
100
 ×
1
100
 ×
1
10
) ×
30
100
 + ( X ÷
101
100
 −
1047
2
 − X ÷
101
100
 ×
1
100
 ×
1
10
) ×
20
100
(
1047
2
 + X ÷
101
100
 ×
1
100
 ×
1
10
) = 680(
1047
2
 + X ÷
101
100
 ×
1
100
 ×
1
10
)
    Remove a bracket on the left of the equation:
     
199699
202000
 X ×
1047
2
 +
199699
202000
 X X ÷
101
100
 ×
1
100
 ×
1
10
 − ( X ÷
101
100
 −
1047
2
 − X ÷
101
100
 ×
1
100
 ×
1
10
) ×
30
100
 + ( X ÷
101
100
 −
1047
2
 − X ÷
101
100
 ×
1
100
 ×
1
10
) = 680(
1047
2
 + X ÷
101
100
 ×
1
100
 ×
1
10
)
    Remove a bracket on the right of the equation:：
     
199699
202000
 X ×
1047
2
 +
199699
202000
 X X ÷
101
100
 ×
1
100
 ×
1
10
 − ( X ÷
101
100
 −
1047
2
 − X ÷
101
100
 ×
1
100
 ×
1
10
) ×
30
100
 + ( X ÷
101
100
 −
1047
2
 − X ÷
101
100
 ×
1
100
 ×
1
10
) = 680 ×
1047
2
 + 680 X ÷
101
100
 ×
1
100
 ×
1
10
    The equation is reduced to :
     
209084853
404000
 X +
199699
204020000
 X X − ( X ÷
101
100
 −
1047
2
 − X ÷
101
100
 ×
1
100
 ×
1
10
) ×
30
100
 + ( X ÷
101
100
 −
1047
2
 − X ÷
101
100
 ×
1
100
 ×
1
10
) ×
20
100
(
1047
2
 + X ÷
101
100
 ×
1
100
 ×
1
10
) = 355980 +
68
101
 X
    Remove a bracket on the left of the equation:
     
209084853
404000
 X +
199699
204020000
 X X − X ÷
101
100
 ×
30
100
 +
1047
2
 ×
30
100
 + X ÷
101
100
 = 355980 +
68
101
 X
    The equation is reduced to :
     
209084853
404000
 X +
199699
204020000
 X X − X ×
30
101
 +
3141
20
 + X ×
3
10100
 + ( X ÷
101
100
 −
1047
2
 − X ÷
101
100
 ×
1
100
 ×
1
10
) ×
20
100
 = 355980 +
68
101
 X

    
        X≈661.458644 , keep 6 decimal places    
    There are 1 solution(s).

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