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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (6112.3-x)/(132.7+199)+(417.9-x)/(13.64+13.8)+(1097.5-x)/(36.25+26.5) = 0 .
    Question type: Equation
    Solution:Original question:
     (
61123
10
x ) ÷ (
1327
10
+ 199) + (
4179
10
x ) ÷ (
341
25
+
69
5
) + (
2195
2
x ) ÷ (
145
4
+
53
2
) = 0
     Multiply both sides of the equation by:(
1327
10
+ 199)
     (
61123
10
x ) + (
4179
10
x ) ÷ (
341
25
+
69
5
) × (
1327
10
+ 199) + (
2195
2
x ) ÷ (
145
4
+
53
2
) × (
1327
10
+ 199) = 0
    Remove a bracket on the left of the equation::
     
61123
10
x + (
4179
10
x ) ÷ (
341
25
+
69
5
) × (
1327
10
+ 199) + (
2195
2
x ) ÷ (
145
4
+
53
2
) × (
1327
10
+ 199) = 0
     Multiply both sides of the equation by:(
341
25
+
69
5
)
     
61123
10
(
341
25
+
69
5
) x (
341
25
+
69
5
) + (
4179
10
x )(
1327
10
+ 199) + (
2195
2
x ) ÷ (
145
4
+
53
2
) × (
1327
10
+ 199)(
341
25
+
69
5
) = 0
    Remove a bracket on the left of the equation:
     
61123
10
×
341
25
+
61123
10
×
69
5
x (
341
25
+
69
5
) + (
4179
10
x )(
1327
10
+ 199) + (
2195
2
x ) ÷ (
145
4
+
53
2
) × (
1327
10
+ 199)(
341
25
+
69
5
) = 0
    The equation is reduced to :
     
20842943
250
+
4217487
50
x (
341
25
+
69
5
) + (
4179
10
x )(
1327
10
+ 199) + (
2195
2
x ) ÷ (
145
4
+
53
2
) × (
1327
10
+ 199)(
341
25
+
69
5
) = 0
    The equation is reduced to :
     
20965189
125
x (
341
25
+
69
5
) + (
4179
10
x )(
1327
10
+ 199) + (
2195
2
x ) ÷ (
145
4
+
53
2
) × (
1327
10
+ 199)(
341
25
+
69
5
) = 0
     Multiply both sides of the equation by:(
145
4
+
53
2
)
     
20965189
125
(
145
4
+
53
2
) x (
341
25
+
69
5
)(
145
4
+
53
2
) + (
4179
10
x )(
1327
10
+ 199)(
145
4
+
53
2
) + (
2195
2
x )(
1327
10
+ 199)(
341
25
+
69
5
) = 0
    Remove a bracket on the left of the equation:
     
20965189
125
×
145
4
+
20965189
125
×
53
2
x (
341
25
+
69
5
)(
145
4
+
53
2
) + (
4179
10
x )(
1327
10
+ 199)(
145
4
+
53
2
) + (
2195
2
x )(
1327
10
+ 199) = 0
    The equation is reduced to :
     
607990481
100
+
1111155017
250
x (
341
25
+
69
5
)(
145
4
+
53
2
) + (
4179
10
x )(
1327
10
+ 199)(
145
4
+
53
2
) + (
2195
2
x )(
1327
10
+ 199)(
341
25
+
69
5
) = 0

    
        x≈923.324952 , keep 6 decimal places
    
    There are 1 solution(s).


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