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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 4+{10*【(1-x/544)-(-0.8)】/【1.54-(-0.8)】+90}*0.03 = {【10*(0.22-0.01)/(x/1600-0.01)】+90}*0.07 .
    Question type: Equation
    Solution:Original question:
     4 + (10((1 x ÷ 544)( -
4
5
)) ÷ (
77
50
( -
4
5
)) + 90) ×
3
100
= ((10(
11
50
1
100
) ÷ ( x ÷ 1600
1
100
)) + 90) ×
7
100
    Remove a bracket on the left of the equation::
     4 + 10((1 x ÷ 544)( -
4
5
)) ÷ (
77
50
( -
4
5
)) ×
3
100
+ 90 ×
3
100
= ((10(
11
50
1
100
) ÷ ( x ÷ 1600
1
100
)) + 90) ×
7
100
    Remove a bracket on the right of the equation::
     4 + 10((1 x ÷ 544)( -
4
5
)) ÷ (
77
50
( -
4
5
)) ×
3
100
+ 90 ×
3
100
= (10(
11
50
1
100
) ÷ ( x ÷ 1600
1
100
)) ×
7
100
+ 90 ×
7
100
    The equation is reduced to :
     4 +
3
10
((1 x ÷ 544)( -
4
5
)) ÷ (
77
50
( -
4
5
)) +
27
10
= (10(
11
50
1
100
) ÷ ( x ÷ 1600
1
100
)) ×
7
100
+
63
10
    The equation is reduced to :
     
67
10
+
3
10
((1 x ÷ 544)( -
4
5
)) ÷ (
77
50
( -
4
5
)) = (10(
11
50
1
100
) ÷ ( x ÷ 1600
1
100
)) ×
7
100
+
63
10
     Multiply both sides of the equation by:(
77
50
( -
4
5
))
     
67
10
(
77
50
( -
4
5
)) +
3
10
((1 x ÷ 544)( -
4
5
)) = (10(
11
50
1
100
) ÷ ( x ÷ 1600
1
100
)) ×
7
100
(
77
50
( -
4
5
)) +
63
10
(
77
50
( -
4
5
))
    Remove a bracket on the left of the equation:
     
67
10
×
77
50
67
10
( -
4
5
) +
3
10
((1 x ÷ 544)( -
4
5
)) = (10(
11
50
1
100
) ÷ ( x ÷ 1600
1
100
)) ×
7
100
(
77
50
( -
4
5
)) +
63
10
(
77
50
( -
4
5
))
    Remove a bracket on the right of the equation::
     
67
10
×
77
50
67
10
( -
4
5
) +
3
10
((1 x ÷ 544)( -
4
5
)) = 10(
11
50
1
100
) ÷ ( x ÷ 1600
1
100
) ×
7
100
(
77
50
( -
4
5
)) +
63
10
(
77
50
( -
4
5
))
    The equation is reduced to :
     
5159
500
67
10
( -
4
5
) +
3
10
((1 x ÷ 544)( -
4
5
)) =
7
10
(
11
50
1
100
) ÷ ( x ÷ 1600
1
100
) × (
77
50
( -
4
5
)) +
63
10
(
77
50
( -
4
5
))
     Multiply both sides of the equation by:( x ÷ 1600
1
100
)
     
5159
500
( x ÷ 1600
1
100
)
67
10
( -
4
5
)( x ÷ 1600
1
100
) +
3
10
((1 x ÷ 544)( -
4
5
))( x ÷ 1600
1
100
) =
7
10
(
11
50
1
100
)(
77
50
( -
4
5
)) +
63
10
(
77
50
( -
4
5
))( x ÷ 1600
1
100
)
    Remove a bracket on the left of the equation:
     
5159
500
x ÷ 1600
5159
500
×
1
100
67
10
( -
4
5
)( x ÷ 1600
1
100
) +
3
10
((1 x ÷ 544)( -
4
5
))( x ÷ 1600
1
100
) =
7
10
(
11
50
1
100
)(
77
50
( -
4
5
)) +
63
10
(
77
50
( -
4
5
))( x ÷ 1600
1
100
)
    Remove a bracket on the right of the equation::
     
5159
500
x ÷ 1600
5159
500
×
1
100
67
10
( -
4
5
)( x ÷ 1600
1
100
) +
3
10
((1 x ÷ 544)( -
4
5
))( x ÷ 1600
1
100
) =
7
10
×
11
50
(
77
50
( -
4
5
))
7
10
×
1
100
(
77
50
( -
4
5
)) +
63
10
(
77
50
( -
4
5
))( x ÷ 1600
1
100
)
    The equation is reduced to :
     
5159
800000
x
5159
50000
67
10
( -
4
5
)( x ÷ 1600
1
100
) +
3
10
((1 x ÷ 544)( -
4
5
))( x ÷ 1600
1
100
) =
77
500
(
77
50
( -
4
5
))
7
1000
(
77
50
( -
4
5
)) +
63
10
(
77
50
( -
4
5
))( x ÷ 1600
1
100
)
    Remove a bracket on the left of the equation:
     
5159
800000
x
5159
50000
+
67
10
×
4
5
( x ÷ 1600
1
100
) +
3
10
((1 x ÷ 544)( -
4
5
))( x ÷ 1600
1
100
) =
77
500
(
77
50
( -
4
5
))
7
1000
(
77
50
( -
4
5
)) +
63
10
(
77
50
( -
4
5
))( x ÷ 1600
1
100
)
    Remove a bracket on the right of the equation::
     
5159
800000
x
5159
50000
+
67
10
×
4
5
( x ÷ 1600
1
100
) +
3
10
((1 x ÷ 544)( -
4
5
))( x ÷ 1600
1
100
) =
77
500
×
77
50
77
500
( -
4
5
)
7
1000
(
77
50
( -
4
5
)) +
63
10
(
77
50
( -
4
5
))( x ÷ 1600
1
100
)
    The equation is reduced to :
     
5159
800000
x
5159
50000
+
134
25
( x ÷ 1600
1
100
) +
3
10
((1 x ÷ 544)( -
4
5
))( x ÷ 1600
1
100
) =
5929
25000
77
500
( -
4
5
)
7
1000
(
77
50
( -
4
5
)) +
63
10
(
77
50
( -
4
5
))( x ÷ 1600
1
100
)
    Remove a bracket on the left of the equation:
     
5159
800000
x
5159
50000
+
134
25
x ÷ 1600
134
25
×
1
100
+
3
10
((1 x ÷ 544)( -
4
5
))( x ÷ 1600
1
100
) =
5929
25000
77
500
( -
4
5
)
7
1000
(
77
50
( -
4
5
)) +
63
10
(
77
50
( -
4
5
))( x ÷ 1600
1
100
)
    Remove a bracket on the right of the equation::
     
5159
800000
x
5159
50000
+
134
25
x ÷ 1600
134
25
×
1
100
+
3
10
((1 x ÷ 544)( -
4
5
))( x ÷ 1600
1
100
) =
5929
25000
+
77
500
×
4
5
7
1000
(
77
50
( -
4
5
)) +
63
10
(
77
50
( -
4
5
))( x ÷ 1600
1
100
)
    The equation is reduced to :
     
5159
800000
x
5159
50000
+
67
20000
x
67
1250
+
3
10
((1 x ÷ 544)( -
4
5
))( x ÷ 1600
1
100
) =
5929
25000
+
77
625
7
1000
(
77
50
( -
4
5
)) +
63
10
(
77
50
( -
4
5
))( x ÷ 1600
1
100
)

    
        x≈25.473097 , keep 6 decimal places
    
    There are 1 solution(s).


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