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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 5.45-6+(1.13*1.13)/(2*9.81)+x = 18+(2*0.17+0.042*20/0.1)*1.7*1.7/(2*9.81) .
    Question type: Equation
    Solution:Original question:
     
109
20
6 + (
113
100
×
113
100
) ÷ (2 ×
981
100
) + x = 18 + (2 ×
17
100
+
21
500
× 20 ÷
1
10
) ×
17
10
×
17
10
÷ (2 ×
981
100
)
     Multiply both sides of the equation by:(2 ×
981
100
) ,  (2 ×
981
100
)
     
109
20
(2 ×
981
100
)(2 ×
981
100
)6(2 ×
981
100
)(2 ×
981
100
) + (
113
100
×
113
100
)(2 ×
981
100
) + x (2 ×
981
100
)(2 ×
981
100
) = 18(2 ×
981
100
)(2 ×
981
100
) + (2 ×
17
100
+
21
500
× 20 ÷
1
10
) ×
17
10
×
17
10
(2 ×
981
100
)
    Remove a bracket on the left of the equation::
     
109
20
× 2 ×
981
100
(2 ×
981
100
)6(2 ×
981
100
)(2 ×
981
100
) + (
113
100
×
113
100
)(2 ×
981
100
) + x (2 ×
981
100
)(2 ×
981
100
) = 18(2 ×
981
100
)(2 ×
981
100
) + (2 ×
17
100
+
21
500
× 20 ÷
1
10
) ×
17
10
×
17
10
(2 ×
981
100
)
    Remove a bracket on the right of the equation::
     
109
20
× 2 ×
981
100
(2 ×
981
100
)6(2 ×
981
100
)(2 ×
981
100
) + (
113
100
×
113
100
)(2 ×
981
100
) + x (2 ×
981
100
)(2 ×
981
100
) = 18 × 2 ×
981
100
(2 ×
981
100
) + (2 ×
17
100
+
21
500
× 20 ÷
1
10
) ×
17
10
×
17
10
(2 ×
981
100
)
    The equation is reduced to :
     
106929
1000
(2 ×
981
100
)6(2 ×
981
100
)(2 ×
981
100
) + (
113
100
×
113
100
)(2 ×
981
100
) + x (2 ×
981
100
)(2 ×
981
100
) =
8829
25
(2 ×
981
100
) + (2 ×
17
100
+
21
500
× 20 ÷
1
10
) ×
289
100
(2 ×
981
100
)
    Remove a bracket on the left of the equation:
     
106929
1000
× 2 ×
981
100
6(2 ×
981
100
)(2 ×
981
100
) + (
113
100
×
113
100
)(2 ×
981
100
) + x (2 ×
981
100
)(2 ×
981
100
) =
8829
25
(2 ×
981
100
) + (2 ×
17
100
+
21
500
× 20 ÷
1
10
) ×
289
100
(2 ×
981
100
)
    Remove a bracket on the right of the equation::
     
106929
1000
× 2 ×
981
100
6(2 ×
981
100
)(2 ×
981
100
) + (
113
100
×
113
100
)(2 ×
981
100
) + x (2 ×
981
100
)(2 ×
981
100
) =
8829
25
× 2 ×
981
100
+ (2 ×
17
100
+
21
500
× 20 ÷
1
10
) ×
289
100
(2 ×
981
100
)
    The equation is reduced to :
     
104897349
50000
6(2 ×
981
100
)(2 ×
981
100
) + (
113
100
×
113
100
)(2 ×
981
100
) + x (2 ×
981
100
)(2 ×
981
100
) =
8661249
1250
+ (2 ×
17
100
+
21
500
× 20 ÷
1
10
) ×
289
100
(2 ×
981
100
)
    Remove a bracket on the left of the equation:
     
104897349
50000
6 × 2 ×
981
100
(2 ×
981
100
) + (
113
100
×
113
100
)(2 ×
981
100
) + x (2 ×
981
100
)(2 ×
981
100
) =
8661249
1250
+ (2 ×
17
100
+
21
500
× 20 ÷
1
10
) ×
289
100
(2 ×
981
100
)
    Remove a bracket on the right of the equation::
     
104897349
50000
6 × 2 ×
981
100
(2 ×
981
100
) + (
113
100
×
113
100
)(2 ×
981
100
) + x (2 ×
981
100
)(2 ×
981
100
) =
8661249
1250
+ 2 ×
17
100
×
289
100
(2 ×
981
100
) +
21
500
× 20 ÷
1
10
×
289
100
(2 ×
981
100
)
    The equation is reduced to :
     
104897349
50000
2943
25
(2 ×
981
100
) + (
113
100
×
113
100
)(2 ×
981
100
) + x (2 ×
981
100
)(2 ×
981
100
) =
8661249
1250
+
4913
5000
(2 ×
981
100
) +
6069
250
(2 ×
981
100
)
    Remove a bracket on the left of the equation:
     
104897349
50000
2943
25
× 2 ×
981
100
+ (
113
100
×
113
100
)(2 ×
981
100
) + x (2 ×
981
100
)(2 ×
981
100
) =
8661249
1250
+
4913
5000
(2 ×
981
100
) +
6069
250
(2 ×
981
100
)
    Remove a bracket on the right of the equation::
     
104897349
50000
2943
25
× 2 ×
981
100
+ (
113
100
×
113
100
)(2 ×
981
100
) + x (2 ×
981
100
)(2 ×
981
100
) =
8661249
1250
+
4913
5000
× 2 ×
981
100
+
6069
250
(2 ×
981
100
)
    The equation is reduced to :
     
104897349
50000
2887083
1250
+ (
113
100
×
113
100
)(2 ×
981
100
) + x (2 ×
981
100
)(2 ×
981
100
) =
8661249
1250
+
4819653
250000
+
6069
250
(2 ×
981
100
)

    
        x≈19.772309 , 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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