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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 (24385.5+0.22x)/(0.96x-27954.2) = (0.42x+1998.76)/(0.91x-2182.35) .
    Question type: Equation
    Solution:Original question:
     (
48771
2
+
11
50
x ) ÷ (
24
25
x
139771
5
) = (
21
50
x +
49969
25
) ÷ (
91
100
x
43647
20
)
     Multiply both sides of the equation by:(
24
25
x
139771
5
) ,  (
91
100
x
43647
20
)
     (
48771
2
+
11
50
x )(
91
100
x
43647
20
) = (
21
50
x +
49969
25
)(
24
25
x
139771
5
)
    Remove a bracket on the left of the equation::
     
48771
2
(
91
100
x
43647
20
) +
11
50
x (
91
100
x
43647
20
) = (
21
50
x +
49969
25
)(
24
25
x
139771
5
)
    Remove a bracket on the right of the equation::
     
48771
2
(
91
100
x
43647
20
) +
11
50
x (
91
100
x
43647
20
) =
21
50
x (
24
25
x
139771
5
) +
49969
25
(
24
25
x
139771
5
)
    Remove a bracket on the left of the equation:
     
48771
2
×
91
100
x
48771
2
×
43647
20
+
11
50
x (
91
100
x
43647
20
) =
21
50
x (
24
25
x
139771
5
) +
49969
25
(
24
25
x
139771
5
)
    Remove a bracket on the right of the equation::
     
48771
2
×
91
100
x
48771
2
×
43647
20
+
11
50
x (
91
100
x
43647
20
) =
21
50
x ×
24
25
x
21
50
x ×
139771
5
+
49969
25
(
24
25
x
139771
5
)
    The equation is reduced to :
     
4438161
200
x
2128707837
40
+
11
50
x (
91
100
x
43647
20
) =
252
625
x x
2935191
250
x +
49969
25
(
24
25
x
139771
5
)
    Remove a bracket on the left of the equation:
     
4438161
200
x
2128707837
40
+
11
50
x ×
91
100
x
11
50
x ×
43647
20
=
252
625
x x
2935191
250
x +
49969
25
(
24
25
x
139771
5
)
    Remove a bracket on the right of the equation::
     
4438161
200
x
2128707837
40
+
11
50
x ×
91
100
x
11
50
x ×
43647
20
=
252
625
x x
2935191
250
x +
49969
25
×
24
25
x
49969
25
×
139771
5
    The equation is reduced to :
     
4438161
200
x
2128707837
40
+
1001
5000
x x
480117
1000
x =
252
625
x x
2935191
250
x +
1199256
625
x
6984217099
125
    The equation is reduced to :
     
2713836
125
x
2128707837
40
+
1001
5000
x x =
252
625
x x
12277443
1250
x
6984217099
125

    the solutions is:
        x≈-84.185845 , keep 6 decimal places
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》



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