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    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 397.09+981.08+56.04+x/(1+0.06)*0.06+((397.09+981.08+56.04+x/(1+0.06)*0.06)*(1+0.1)) = x .
    Question type: Equation
    Solution:Original question:
     
39709
100
+
24527
25
+
1401
25
+ x ÷ (1 +
3
50
) ×
3
50
+ ((
39709
100
+
24527
25
+
1401
25
+ x ÷ (1 +
3
50
) ×
3
50
)(1 +
1
10
)) = x
     Multiply both sides of the equation by:(1 +
3
50
)
     
39709
100
(1 +
3
50
) +
24527
25
(1 +
3
50
) +
1401
25
(1 +
3
50
) + x ×
3
50
+ ((
39709
100
+
24527
25
+
1401
25
+ x ÷ (1 +
3
50
) ×
3
50
)(1 +
1
10
))(1 +
3
50
) = x (1 +
3
50
)
    Remove a bracket on the left of the equation::
     
39709
100
× 1 +
39709
100
×
3
50
+
24527
25
(1 +
3
50
) +
1401
25
(1 +
3
50
) + x ×
3
50
+ ((
39709
100
+
24527
25
+
1401
25
+ x ÷ (1 +
3
50
) ×
3
50
)(1 +
1
10
))(1 +
3
50
) = x (1 +
3
50
)
    Remove a bracket on the right of the equation::
     
39709
100
× 1 +
39709
100
×
3
50
+
24527
25
(1 +
3
50
) +
1401
25
(1 +
3
50
) + x ×
3
50
+ ((
39709
100
+
24527
25
+
1401
25
+ x ÷ (1 +
3
50
) ×
3
50
)(1 +
1
10
))(1 +
3
50
) = x × 1 + x ×
3
50
    The equation is reduced to :
     
39709
100
+
119127
5000
+
24527
25
(1 +
3
50
) +
1401
25
(1 +
3
50
) + x ×
3
50
+ ((
39709
100
+
24527
25
+
1401
25
+ x ÷ (1 +
3
50
) ×
3
50
)(1 +
1
10
))(1 +
3
50
) = x × 1 + x ×
3
50
    The equation is reduced to :
     
2104577
5000
+
24527
25
(1 +
3
50
) +
1401
25
(1 +
3
50
) +
3
50
x + ((
39709
100
+
24527
25
+
1401
25
+ x ÷ (1 +
3
50
) ×
3
50
)(1 +
1
10
))(1 +
3
50
) =
53
50
x
    Remove a bracket on the left of the equation:
     
2104577
5000
+
24527
25
× 1 +
24527
25
×
3
50
+
1401
25
(1 +
3
50
) +
3
50
x + ((
39709
100
+
24527
25
+
1401
25
+ x ÷ (1 +
3
50
) ×
3
50
)(1 +
1
10
))(1 +
3
50
) =
53
50
x
    The equation is reduced to :
     
2104577
5000
+
24527
25
+
73581
1250
+
1401
25
(1 +
3
50
) +
3
50
x + ((
39709
100
+
24527
25
+
1401
25
+ x ÷ (1 +
3
50
) ×
3
50
)(1 +
1
10
))(1 +
3
50
) =
53
50
x
    The equation is reduced to :
     
7304301
5000
+
1401
25
(1 +
3
50
) +
3
50
x + ((
39709
100
+
24527
25
+
1401
25
+ x ÷ (1 +
3
50
) ×
3
50
)(1 +
1
10
))(1 +
3
50
) =
53
50
x
    Remove a bracket on the left of the equation:
     
7304301
5000
+
1401
25
× 1 +
1401
25
×
3
50
+
3
50
x + ((
39709
100
+
24527
25
+
1401
25
+ x ÷ (1 +
3
50
) ×
3
50
)(1 +
1
10
))(1 +
3
50
) =
53
50
x
    The equation is reduced to :
     
7304301
5000
+
1401
25
+
4203
1250
+
3
50
x + ((
39709
100
+
24527
25
+
1401
25
+ x ÷ (1 +
3
50
) ×
3
50
)(1 +
1
10
))(1 +
3
50
) =
53
50
x
    The equation is reduced to :
     
7601313
5000
+
3
50
x + ((
39709
100
+
24527
25
+
1401
25
+ x ÷ (1 +
3
50
) ×
3
50
)(1 +
1
10
))(1 +
3
50
) =
53
50
x
    Remove a bracket on the left of the equation:
     
7601313
5000
+
3
50
x + (
39709
100
+
24527
25
+
1401
25
+ x ÷ (1 +
3
50
) ×
3
50
)(1 +
1
10
)(1 +
3
50
) =
53
50
x
    Remove a bracket on the left of the equation:
     
7601313
5000
+
3
50
x +
39709
100
(1 +
1
10
)(1 +
3
50
) +
24527
25
(1 +
1
10
)(1 +
3
50
) +
1401
25
(1 +
1
10
)(1 +
3
50
) =
53
50
x
     Multiply both sides of the equation by:(1 +
3
50
)
     
7601313
5000
(1 +
3
50
) +
3
50
x (1 +
3
50
) +
39709
100
(1 +
1
10
)(1 +
3
50
)(1 +
3
50
) +
24527
25
(1 +
1
10
)(1 +
3
50
) =
53
50
x (1 +
3
50
)
    Remove a bracket on the left of the equation:
     
7601313
5000
× 1 +
7601313
5000
×
3
50
+
3
50
x (1 +
3
50
) +
39709
100
(1 +
1
10
)(1 +
3
50
)(1 +
3
50
) +
24527
25
=
53
50
x (1 +
3
50
)
    Remove a bracket on the right of the equation::
     
7601313
5000
× 1 +
7601313
5000
×
3
50
+
3
50
x (1 +
3
50
) +
39709
100
(1 +
1
10
)(1 +
3
50
)(1 +
3
50
) +
24527
25
=
53
50
x × 1 +
53
50
x ×
3
50
    The equation is reduced to :
     
7601313
5000
+
22803939
250000
+
3
50
x (1 +
3
50
) +
39709
100
(1 +
1
10
)(1 +
3
50
)(1 +
3
50
) +
24527
25
(1 +
1
10
)(1 +
3
50
) =
53
50
x +
159
2500
x

    
        x≈3040.525200 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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