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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 5.2105 = [25.5755*0.8962(5.2105+0.1)]/[1.8962(x+0.1)](100-10.81-1.96)/100*1/(1+0.31*1.96)+[2.07(x+0.1)]/(1.4*0.101325) .
    Question type: Equation
    Solution:Original question:
     
10421
2000
= (
51151
2000
×
4481
5000
(
10421
2000
+
1
10
)) ÷ (
9481
5000
( x +
1
10
)) × (100
1081
100
49
25
) ÷ 100 × 1 ÷ (1 +
31
100
×
49
25
) + (
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
)
     Multiply both sides of the equation by:(
9481
5000
( x +
1
10
))
     
10421
2000
(
9481
5000
( x +
1
10
)) = (
51151
2000
×
4481
5000
(
10421
2000
+
1
10
))(100
1081
100
49
25
) ÷ 100 × 1 ÷ (1 +
31
100
×
49
25
) + (
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
) × (
9481
5000
( x +
1
10
))
    Remove a bracket on the left of the equation::
     
10421
2000
×
9481
5000
( x +
1
10
) = (
51151
2000
×
4481
5000
(
10421
2000
+
1
10
))(100
1081
100
49
25
) ÷ 100 × 1 ÷ (1 +
31
100
×
49
25
) + (
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
) × (
9481
5000
( x +
1
10
))
    Remove a bracket on the right of the equation::
     
10421
2000
×
9481
5000
( x +
1
10
) =
51151
2000
×
4481
5000
(
10421
2000
+
1
10
)(100
1081
100
49
25
) ÷ 100 × 1 ÷ (1 +
31
100
×
49
25
) + (
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
) × (
9481
5000
( x +
1
10
))
    The equation is reduced to :
     
98801501
10000000
( x +
1
10
) =
229207631
1000000000
(
10421
2000
+
1
10
)(100
1081
100
49
25
) ÷ (1 +
31
100
×
49
25
) + (
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
) × (
9481
5000
( x +
1
10
))
     Multiply both sides of the equation by:(1 +
31
100
×
49
25
)
     
98801501
10000000
( x +
1
10
)(1 +
31
100
×
49
25
) =
229207631
1000000000
(
10421
2000
+
1
10
)(100
1081
100
49
25
) + (
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
) × (
9481
5000
( x +
1
10
))(1 +
31
100
×
49
25
)
    Remove a bracket on the left of the equation:
     
98801501
10000000
x (1 +
31
100
×
49
25
) +
98801501
10000000
×
1
10
(1 +
31
100
×
49
25
) =
229207631
1000000000
(
10421
2000
+
1
10
)(100
1081
100
49
25
) + (
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
) × (
9481
5000
( x +
1
10
))(1 +
31
100
×
49
25
)
    Remove a bracket on the right of the equation::
     
98801501
10000000
x (1 +
31
100
×
49
25
) +
98801501
10000000
×
1
10
(1 +
31
100
×
49
25
) =
229207631
1000000000
×
10421
2000
(100
1081
100
49
25
) +
229207631
1000000000
×
1
10
(100
1081
100
49
25
) + (
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
) × (
9481
5000
( x +
1
10
))(1 +
31
100
×
49
25
)

    
        x≈6.584806 , 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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