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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+6%)*6%-X-X/(1+6%)*6%*12% = 6.5 .
    Question type: Equation
    Solution:Original question:
      X − X ÷ (1 +
6
100
) ×
6
100
 − X − X ÷ (1 +
6
100
) ×
6
100
 ×
12
100
 =
13
2
     Multiply both sides of the equation by:(1 +
6
100
)
      X (1 +
6
100
) − X ×
6
100
 − X (1 +
6
100
) − X ÷ (1 +
6
100
) ×
6
100
 ×
12
100
(1 +
6
100
) =
13
2
(1 +
6
100
)
    Remove a bracket on the left of the equation:：
      X × 1 + X ×
6
100
 − X ×
6
100
 − X (1 +
6
100
) − X ÷ (1 +
6
100
) ×
6
100
 ×
12
100
 =
13
2
(1 +
6
100
)
    Remove a bracket on the right of the equation:：
      X × 1 + X ×
6
100
 − X ×
6
100
 − X (1 +
6
100
) − X ÷ (1 +
6
100
) ×
6
100
 ×
12
100
 =
13
2
 × 1 +
13
2
 ×
6
100
    The equation is reduced to :
      X × 1 + X ×
6
100
 − X ×
6
100
 − X (1 +
6
100
) − X ÷ (1 +
6
100
) ×
9
1250
(1 +
6
100
) =
13
2
 +
39
100
    The equation is reduced to :
     1 X − X (1 +
6
100
) − X ÷ (1 +
6
100
) ×
9
1250
(1 +
6
100
) =
689
100
     Multiply both sides of the equation by:(1 +
6
100
)
     1 X (1 +
6
100
) − X (1 +
6
100
)(1 +
6
100
) − X ×
9
1250
(1 +
6
100
) =
689
100
(1 +
6
100
)
    Remove a bracket on the left of the equation:
     1 X × 1 + 1 X ×
6
100
 − X (1 +
6
100
)(1 +
6
100
) − X ×
9
1250
(1 +
6
100
) =
689
100
(1 +
6
100
)
    Remove a bracket on the right of the equation:：
     1 X × 1 + 1 X ×
6
100
 − X (1 +
6
100
)(1 +
6
100
) − X ×
9
1250
(1 +
6
100
) =
689
100
 × 1 +
689
100
 ×
6
100
    The equation is reduced to :
     1 X +
3
50
 X − X (1 +
6
100
)(1 +
6
100
) − X ×
9
1250
(1 +
6
100
) =
689
100
 +
2067
5000
    The equation is reduced to :
     
53
50
 X − X (1 +
6
100
)(1 +
6
100
) − X ×
9
1250
(1 +
6
100
) =
36517
5000
    Remove a bracket on the left of the equation:
     
53
50
 X − X × 1(1 +
6
100
) − X ×
6
100
(1 +
6
100
) − X ×
9
1250
(1 +
6
100
) =
36517
5000
    Remove a bracket on the left of the equation:
     
53
50
 X − X × 1 × 1 − X × 1 ×
6
100
 − X ×
6
100
(1 +
6
100
) − X =
36517
5000
    The equation is reduced to :
     
53
50
 X − X × 1 − X ×
3
50
 − X ×
6
100
(1 +
6
100
) − X ×
9
1250
(1 +
6
100
) =
36517
5000
    The equation is reduced to :
      0 X − X ×
6
100
(1 +
6
100
) − X ×
9
1250
(1 +
6
100
) =
36517
5000
    Remove a bracket on the left of the equation:
      - X ×
6
100
 × 1 − X ×
6
100
 ×
6
100
 − X ×
9
1250
(1 +
6
100
) =
36517
5000
    The equation is reduced to :
      - X ×
3
50
 − X ×
9
2500
 − X ×
9
1250
(1 +
6
100
) =
36517
5000
    The equation is reduced to :
      -
159
2500
 X − X ×
9
1250
(1 +
6
100
) =
36517
5000
    Remove a bracket on the left of the equation:
      -
159
2500
 X − X ×
9
1250
 × 1 − X ×
9
1250
 ×
6
100
 =
36517
5000
    The equation is reduced to :
      -
159
2500
 X − X ×
9
1250
 − X ×
27
62500
 =
36517
5000
    The equation is reduced to :
      -
1113
15625
 X =
36517
5000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
36517
5000
 =
1113
15625
 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 :
     
1113
15625
 X = -
36517
5000

    The coefficient of the unknown number is reduced to 1 :
      X = -
36517
5000
 ÷
1113
15625
        = -
36517
5000
 ×
15625
1113
        = -
36517
8
 ×
25
1113

    We obtained :
      X = -
912925
8904
    This is the solution of the equation.

    By reducing fraction, we can get:
      X = -
17225
168

    Convert the result to decimal form :
      X = - 102.529762



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