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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 (6.023-1206.35/(x+220.24))*(112.877+(1206.35/(x+220.24)/((1343.94/(x+219.58)-(1206.35/(x+220.24)-0.055) ) ) ) ) = 118.7811 .
    Question type: Equation
    Solution:Original question:
     (
6023
1000
24127
20
÷ ( x +
5506
25
))(
112877
1000
+ (
24127
20
÷ ( x +
5506
25
) ÷ ((
67197
50
÷ ( x +
10979
50
)(
24127
20
÷ ( x +
5506
25
)
11
200
))))) =
1187811
10000
    Remove a bracket on the left of the equation::
     
6023
1000
(
112877
1000
+ (
24127
20
÷ ( x +
5506
25
) ÷ ((
67197
50
÷ ( x +
10979
50
)(
24127
20
÷ ( x +
5506
25
)
11
200
)))))
24127
20
÷ ( x +
5506
25
) × (
112877
1000
+ (
24127
20
÷ ( x +
5506
25
) ÷ ((
67197
50
÷ ( x +
10979
50
)(
24127
20
÷ ( x +
5506
25
)
11
200
))))) =
1187811
10000
     Multiply both sides of the equation by:( x +
5506
25
)
     
6023
1000
(
112877
1000
+ (
24127
20
÷ ( x +
5506
25
) ÷ ((
67197
50
÷ ( x +
10979
50
)(
24127
20
÷ ( x +
5506
25
)
11
200
)))))( x +
5506
25
)
24127
20
(
112877
1000
+ (
24127
20
÷ ( x +
5506
25
) ÷ ((
67197
50
÷ ( x +
10979
50
)(
24127
20
÷ ( x +
5506
25
)
11
200
))))) =
1187811
10000
( x +
5506
25
)
    Remove a bracket on the left of the equation:
     
6023
1000
×
112877
1000
( x +
5506
25
) +
6023
1000
(
24127
20
÷ ( x +
5506
25
) ÷ ((
67197
50
÷ ( x +
10979
50
)(
24127
20
÷ ( x +
5506
25
)
11
200
))))( x +
5506
25
)
24127
20
(
112877
1000
+ (
24127
20
÷ ( x +
5506
25
) ÷ ((
67197
50
÷ ( x +
10979
50
)(
24127
20
÷ ( x +
5506
25
)
11
200
))))) =
1187811
10000
( x +
5506
25
)
    Remove a bracket on the right of the equation::
     
6023
1000
×
112877
1000
( x +
5506
25
) +
6023
1000
(
24127
20
÷ ( x +
5506
25
) ÷ ((
67197
50
÷ ( x +
10979
50
)(
24127
20
÷ ( x +
5506
25
)
11
200
))))( x +
5506
25
)
24127
20
(
112877
1000
+ (
24127
20
÷ ( x +
5506
25
) ÷ ((
67197
50
÷ ( x +
10979
50
)(
24127
20
÷ ( x +
5506
25
)
11
200
))))) =
1187811
10000
x +
1187811
10000
×
5506
25
    The equation is reduced to :
     
679858171
1000000
( x +
5506
25
) +
6023
1000
(
24127
20
÷ ( x +
5506
25
) ÷ ((
67197
50
÷ ( x +
10979
50
)(
24127
20
÷ ( x +
5506
25
)
11
200
))))( x +
5506
25
)
24127
20
(
112877
1000
+ (
24127
20
÷ ( x +
5506
25
) ÷ ((
67197
50
÷ ( x +
10979
50
)(
24127
20
÷ ( x +
5506
25
)
11
200
))))) =
1187811
10000
x +
3270043683
125000
    Remove a bracket on the left of the equation:
     
679858171
1000000
x +
679858171
1000000
×
5506
25
+
6023
1000
(
24127
20
÷ ( x +
5506
25
) ÷ ((
67197
50
÷ ( x +
10979
50
)(
24127
20
÷ ( x +
5506
25
)
11
200
))))( x +
5506
25
)
24127
20
(
112877
1000
+ (
24127
20
÷ ( x +
5506
25
) ÷ ((
67197
50
÷ ( x +
10979
50
)(
24127
20
÷ ( x +
5506
25
)
11
200
))))) =
1187811
10000
x +
3270043683
125000

    
        x≈19.172745 , 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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