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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation {[X*(1-0.6)-2500-7500*0.05-4000*0.06]*(1-0.25)-30*100*0.08}/500 = {[X*(1-0.6)-2500-7500*0.05]*(1-0.25)-30*100*0.08}/500+4000/16 .
    Question type: Equation
    Solution:Original question:
     (( X (1
3
5
)25007500 ×
1
20
4000 ×
3
50
)(1
1
4
)30 × 100 ×
2
25
) ÷ 500 = (( X (1
3
5
)25007500 ×
1
20
)(1
1
4
)30 × 100 ×
2
25
) ÷ 500 + 4000 ÷ 16
    Remove the bracket on the left of the equation:
     Left side of the equation = ( X (1
3
5
)25007500 ×
1
20
4000 ×
3
50
)(1
1
4
) ×
1
500
30 × 100 ×
2
25
×
1
500
                                             = ( X (1
3
5
)25007500 ×
1
20
4000 ×
3
50
)(1
1
4
) ×
1
500
12
25
                                             = X (1
3
5
)(1
1
4
) ×
1
500
2500(1
1
4
) ×
1
500
7500 ×
1
20
(1
1
4
) ×
1
500
4000
                                             = X (1
3
5
)(1
1
4
) ×
1
500
5(1
1
4
)
3
4
(1
1
4
)
12
25
(1
1
4
)
12
25
                                             = X × 1(1
1
4
) ×
1
500
X ×
3
5
(1
1
4
) ×
1
500
5(1
1
4
)
3
4
(1
1
4
)
                                             = X ×
1
500
(1
1
4
) X ×
3
2500
(1
1
4
)5(1
1
4
)
3
4
(1
1
4
)
12
25
(1
1
4
)
                                             = X ×
1
500
× 1 X ×
1
500
×
1
4
X ×
3
2500
(1
1
4
)5(1
1
4
)
3
4
                                             = X ×
1
500
X ×
1
2000
X ×
3
2500
(1
1
4
)5(1
1
4
)
3
4
(1
1
4
)
12
25
                                             =
3
2000
X X ×
3
2500
(1
1
4
)5(1
1
4
)
3
4
(1
1
4
)
12
25
(1
1
4
)
12
25
                                             =
3
2000
X X ×
3
2500
× 1 + X ×
3
2500
×
1
4
5(1
1
4
)
3
4
(1
1
4
)
                                             =
3
2000
X X ×
3
2500
+ X ×
3
10000
5(1
1
4
)
3
4
(1
1
4
)
12
25
(1
1
4
)
                                             =
3
5000
X 5(1
1
4
)
3
4
(1
1
4
)
12
25
(1
1
4
)
12
25
                                             =
3
5000
X 5 × 1 + 5 ×
1
4
3
4
(1
1
4
)
12
25
(1
1
4
)
12
25
                                             =
3
5000
X 5 +
5
4
3
4
(1
1
4
)
12
25
(1
1
4
)
12
25
                                             =
3
5000
X
423
100
3
4
(1
1
4
)
12
25
(1
1
4
)
                                             =
3
5000
X
423
100
3
4
× 1 +
3
4
×
1
4
12
25
(1
1
4
)
                                             =
3
5000
X
423
100
3
4
+
3
16
12
25
(1
1
4
)
                                             =
3
5000
X
1917
400
12
25
(1
1
4
)
                                             =
3
5000
X
1917
400
12
25
× 1 +
12
25
×
1
4
                                             =
3
5000
X
1917
400
12
25
+
3
25
                                             =
3
5000
X
2061
400
    The equation is transformed into :
     
3
5000
X
2061
400
= (( X (1
3
5
)25007500 ×
1
20
)(1
1
4
)30 × 100 ×
2
25
) ÷ 500 + 4000 ÷ 16
     Right side of the equation = (( X (1
3
5
)25007500 ×
1
20
)(1
1
4
)30 × 100 ×
2
25
) ×
1
500
+ 250
    The equation is transformed into :
     
3
5000
X
2061
400
= (( X (1
3
5
)25007500 ×
1
20
)(1
1
4
)30 × 100 ×
2
25
) ×
1
500
+ 250
    Remove the bracket on the right of the equation:
     Right side of the equation = ( X (1
3
5
)25007500 ×
1
20
)(1
1
4
) ×
1
500
30 × 100 ×
2
25
×
1
500
+ 250
    This equation has no real solution!


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