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    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 3.6798 = [25.5755*0.8962(x+0.1)]/[1.8962(x+0.1)]*[(100-0.1081-0.0196)/100]/[(1+0.31*0.0196)+2.07(x+0.1)]/(1.4*0.101325) .
    Question type: Equation
    Solution:Original question:
     
18399
5000
= (
51151
2000
×
4481
5000
( x +
1
10
)) ÷ (
9481
5000
( x +
1
10
)) × ((100
1081
10000
49
2500
) ÷ 100) ÷ ((1 +
31
100
×
49
2500
) +
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
)
     Multiply both sides of the equation by:(
9481
5000
( x +
1
10
))
     
18399
5000
(
9481
5000
( x +
1
10
)) = (
51151
2000
×
4481
5000
( x +
1
10
))((100
1081
10000
49
2500
) ÷ 100) ÷ ((1 +
31
100
×
49
2500
) +
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
)
    Remove a bracket on the left of the equation::
     
18399
5000
×
9481
5000
( x +
1
10
) = (
51151
2000
×
4481
5000
( x +
1
10
))((100
1081
10000
49
2500
) ÷ 100) ÷ ((1 +
31
100
×
49
2500
) +
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
)
    Remove a bracket on the right of the equation::
     
18399
5000
×
9481
5000
( x +
1
10
) =
51151
2000
×
4481
5000
( x +
1
10
)((100
1081
10000
49
2500
) ÷ 100) ÷ ((1 +
31
100
×
49
2500
) +
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
)
    The equation is reduced to :
     
174440919
25000000
( x +
1
10
) =
229207631
10000000
( x +
1
10
)((100
1081
10000
49
2500
) ÷ 100) ÷ ((1 +
31
100
×
49
2500
) +
207
100
( x +
1
10
)) ÷ (
7
5
×
4053
40000
)
     Multiply both sides of the equation by:((1 +
31
100
×
49
2500
) +
207
100
( x +
1
10
))
     
174440919
25000000
( x +
1
10
)((1 +
31
100
×
49
2500
) +
207
100
( x +
1
10
)) =
229207631
10000000
( x +
1
10
)((100
1081
10000
49
2500
) ÷ 100) ÷ (
7
5
×
4053
40000
)
    Remove a bracket on the left of the equation:
     
174440919
25000000
x ((1 +
31
100
×
49
2500
) +
207
100
( x +
1
10
)) +
174440919
25000000
×
1
10
((1 +
31
100
×
49
2500
) +
207
100
( x +
1
10
)) =
229207631
10000000
( x +
1
10
)((100
1081
10000
49
2500
) ÷ 100) ÷ (
7
5
×
4053
40000
)
    Remove a bracket on the right of the equation::
     
174440919
25000000
x ((1 +
31
100
×
49
2500
) +
207
100
( x +
1
10
)) +
174440919
25000000
×
1
10
((1 +
31
100
×
49
2500
) +
207
100
( x +
1
10
)) =
229207631
10000000
x ((100
1081
10000
49
2500
) ÷ 100) ÷ (
7
5
×
4053
40000
) +
229207631
10000000
×
1
10
((100
1081
10000
49
2500
) ÷ 100) ÷ (
7
5
×
4053
40000
)
    The equation is reduced to :
     
174440919
25000000
x ((1 +
31
100
×
49
2500
) +
207
100
( x +
1
10
)) +
174440919
250000000
((1 +
31
100
×
49
2500
) +
207
100
( x +
1
10
)) =
229207631
10000000
x ((100
1081
10000
49
2500
) ÷ 100) ÷ (
7
5
×
4053
40000
) +
229207631
100000000
((100
1081
10000
49
2500
) ÷ 100) ÷ (
7
5
×
4053
40000
)
     Multiply both sides of the equation by:(
7
5
×
4053
40000
)
     
174440919
25000000
x ((1 +
31
100
×
49
2500
) +
207
100
( x +
1
10
))(
7
5
×
4053
40000
) +
174440919
250000000
((1 +
31
100
×
49
2500
) +
207
100
( x +
1
10
))(
7
5
×
4053
40000
) =
229207631
10000000
x ((100
1081
10000
49
2500
) ÷ 100) +
229207631
100000000
((100
1081
10000
49
2500
) ÷ 100) ÷ (
7
5
×
4053
40000
) × (
7
5
×
4053
40000
)
    Remove a bracket on the left of the equation:
     
174440919
25000000
x (1 +
31
100
×
49
2500
)(
7
5
×
4053
40000
) +
174440919
25000000
x ×
207
100
( x +
1
10
)(
7
5
×
4053
40000
) +
174440919
250000000
((1 +
31
100
×
49
2500
) +
207
100
( x +
1
10
))(
7
5
×
4053
40000
) =
229207631
10000000
x ((100
1081
10000
49
2500
) ÷ 100) +
229207631
100000000
((100
1081
10000
49
2500
) ÷ 100) ÷ (
7
5
×
4053
40000
) × (
7
5
×
4053
40000
)
    Remove a bracket on the right of the equation::
     
174440919
25000000
x (1 +
31
100
×
49
2500
)(
7
5
×
4053
40000
) +
174440919
25000000
x ×
207
100
( x +
1
10
)(
7
5
×
4053
40000
) +
174440919
250000000
((1 +
31
100
×
49
2500
) +
207
100
( x +
1
10
))(
7
5
×
4053
40000
) =
229207631
10000000
x (100
1081
10000
49
2500
) ÷ 100 +
229207631
100000000
((100
1081
10000
49
2500
) ÷ 100) ÷ (
7
5
×
4053
40000
) × (
7
5
×
4053
40000
)
    This equation has no real solution!


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