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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation X×（1-7%）×（1-2.5%）×（1-4%）×（1-4%） = 7.2 .
    Question type: Equation
    Solution:Original question:
      X (1 −
7
100
)(1 −
5
200
)(1 −
4
100
)(1 −
4
100
) =
36
5
    Remove the bracket on the left of the equation:
     Left side of the equation = X × 1(1 −
5
200
)(1 −
4
100
)(1 −
4
100
) − X ×
7
100
(1 −
5
200
)(1 −
4
100
)(1 −
4
100
)
                                             = X × 1 × 1(1 −
4
100
)(1 −
4
100
) − X × 1 ×
5
200
(1 −
4
100
)(1 −
4
100
) − X ×
7
100
                                             = X × 1(1 −
4
100
)(1 −
4
100
) − X ×
1
40
(1 −
4
100
)(1 −
4
100
) − X ×
7
100
(1 −
5
200
)(1 −
4
100
)
                                             = X × 1 × 1(1 −
4
100
) − X × 1 ×
4
100
(1 −
4
100
) − X ×
1
40
(1 −
4
100
)(1 −
4
100
)
                                             = X × 1(1 −
4
100
) − X ×
1
25
(1 −
4
100
) − X ×
1
40
(1 −
4
100
)(1 −
4
100
) − X ×
7
100
                                             = X × 1 × 1 − X × 1 ×
4
100
 − X ×
1
25
(1 −
4
100
) − X ×
1
40
(1 −
4
100
)
                                             = X × 1 − X ×
1
25
 − X ×
1
25
(1 −
4
100
) − X ×
1
40
(1 −
4
100
)(1 −
4
100
) − X
                                             =
24
25
 X − X ×
1
25
(1 −
4
100
) − X ×
1
40
(1 −
4
100
)(1 −
4
100
) − X ×
7
100
(1 −
5
200
)
                                             =
24
25
 X − X ×
1
25
 × 1 + X ×
1
25
 ×
4
100
 − X ×
1
40
(1 −
4
100
)(1 −
4
100
)
                                             =
24
25
 X − X ×
1
25
 + X ×
1
625
 − X ×
1
40
(1 −
4
100
)(1 −
4
100
) − X ×
7
100
                                             =
576
625
 X − X ×
1
40
(1 −
4
100
)(1 −
4
100
) − X ×
7
100
(1 −
5
200
)(1 −
4
100
)(1 −
4
100
)
                                             =
576
625
 X − X ×
1
40
 × 1(1 −
4
100
) + X ×
1
40
 ×
4
100
(1 −
4
100
) − X ×
7
100
                                             =
576
625
 X − X ×
1
40
(1 −
4
100
) + X ×
1
1000
(1 −
4
100
) − X ×
7
100
(1 −
5
200
)(1 −
4
100
)
                                             =
576
625
 X − X ×
1
40
 × 1 + X ×
1
40
 ×
4
100
 + X ×
1
1000
(1 −
4
100
) − X
                                             =
576
625
 X − X ×
1
40
 + X ×
1
1000
 + X ×
1
1000
(1 −
4
100
) − X ×
7
100
(1 −
5
200
)
                                             =
561
625
 X + X ×
1
1000
(1 −
4
100
) − X ×
7
100
(1 −
5
200
)(1 −
4
100
)(1 −
4
100
)
                                             =
561
625
 X + X ×
1
1000
 × 1 − X ×
1
1000
 ×
4
100
 − X ×
7
100
(1 −
5
200
)(1 −
4
100
)
                                             =
561
625
 X + X ×
1
1000
 − X ×
1
25000
 − X ×
7
100
(1 −
5
200
)(1 −
4
100
)(1 −
4
100
)
                                             =
2808
3125
 X − X ×
7
100
(1 −
5
200
)(1 −
4
100
)(1 −
4
100
)
                                             =
2808
3125
 X − X ×
7
100
 × 1(1 −
4
100
)(1 −
4
100
) + X ×
7
100
 ×
5
200
(1 −
4
100
)(1 −
4
100
)
                                             =
2808
3125
 X − X ×
7
100
(1 −
4
100
)(1 −
4
100
) + X ×
7
4000
(1 −
4
100
)(1 −
4
100
)
                                             =
2808
3125
 X − X ×
7
100
 × 1(1 −
4
100
) + X ×
7
100
 ×
4
100
(1 −
4
100
) + X ×
7
4000
                                             =
2808
3125
 X − X ×
7
100
(1 −
4
100
) + X ×
7
2500
(1 −
4
100
) + X ×
7
4000
(1 −
4
100
)(1 −
4
100
)
                                             =
2808
3125
 X − X ×
7
100
 × 1 + X ×
7
100
 ×
4
100
 + X ×
7
2500
(1 −
4
100
) + X
                                             =
2808
3125
 X − X ×
7
100
 + X ×
7
2500
 + X ×
7
2500
(1 −
4
100
) + X ×
7
4000
(1 −
4
100
)

    
        X≈8.615936 , keep 6 decimal places    
    There are 1 solution(s).

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