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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 {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+4 = 0 .
    Question type: Equation
    Solution:Original question:
     (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
 + 4 = 0
    Remove a bracket on the left of the equation:：
     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
 + 4 = 0
    The equation is reduced to :
     
3
10
((1 − x ÷ 544) − ( -
4
5
)) ÷ (
77
50
 − ( -
4
5
)) +
27
10
 − ((10(
11
50
 −
1
100
) ÷ ( x ÷ 1600 −
1
100
)) + 90) ×
7
100
 + 4 = 0
    The equation is reduced to :
     
3
10
((1 − x ÷ 544) − ( -
4
5
)) ÷ (
77
50
 − ( -
4
5
)) +
67
10
 − ((10(
11
50
 −
1
100
) ÷ ( x ÷ 1600 −
1
100
)) + 90) ×
7
100
 = 0
     Multiply both sides of the equation by:(
77
50
 − ( -
4
5
))
     
3
10
((1 − x ÷ 544) − ( -
4
5
)) +
67
10
(
77
50
 − ( -
4
5
)) − ((10(
11
50
 −
1
100
) ÷ ( x ÷ 1600 −
1
100
)) + 90) ×
7
100
(
77
50
 − ( -
4
5
)) = 0
    Remove a bracket on the left of the equation:
     
3
10
(1 − x ÷ 544) −
3
10
( -
4
5
) +
67
10
(
77
50
 − ( -
4
5
)) − ((10(
11
50
 −
1
100
) ÷ ( x ÷ 1600 −
1
100
)) + 90) ×
7
100
(
77
50
 − ( -
4
5
)) = 0
    Remove a bracket on the left of the equation:
     
3
10
 × 1 −
3
10
 x ÷ 544 −
3
10
( -
4
5
) +
67
10
(
77
50
 − ( -
4
5
)) − ((10(
11
50
 −
1
100
) ÷ ( x ÷ 1600 −
1
100
)) + 90) ×
7
100
(
77
50
 − ( -
4
5
)) = 0
    The equation is reduced to :
     
3
10
 −
3
5440
 x −
3
10
( -
4
5
) +
67
10
(
77
50
 − ( -
4
5
)) − ((10(
11
50
 −
1
100
) ÷ ( x ÷ 1600 −
1
100
)) + 90) ×
7
100
(
77
50
 − ( -
4
5
)) = 0
    Remove a bracket on the left of the equation:
     
3
10
 −
3
5440
 x +
3
10
 ×
4
5
 +
67
10
(
77
50
 − ( -
4
5
)) − ((10(
11
50
 −
1
100
) ÷ ( x ÷ 1600 −
1
100
)) + 90) ×
7
100
(
77
50
 − ( -
4
5
)) = 0
    The equation is reduced to :
     
3
10
 −
3
5440
 x +
6
25
 +
67
10
(
77
50
 − ( -
4
5
)) − ((10(
11
50
 −
1
100
) ÷ ( x ÷ 1600 −
1
100
)) + 90) ×
7
100
(
77
50
 − ( -
4
5
)) = 0
    The equation is reduced to :
     
27
50
 −
3
5440
 x +
67
10
(
77
50
 − ( -
4
5
)) − ((10(
11
50
 −
1
100
) ÷ ( x ÷ 1600 −
1
100
)) + 90) ×
7
100
(
77
50
 − ( -
4
5
)) = 0
    Remove a bracket on the left of the equation:
     
27
50
 −
3
5440
 x +
67
10
 ×
77
50
 −
67
10
( -
4
5
) − ((10(
11
50
 −
1
100
) ÷ ( x ÷ 1600 −
1
100
)) + 90) ×
7
100
(
77
50
 − ( -
4
5
)) = 0
    The equation is reduced to :
     
27
50
 −
3
5440
 x +
5159
500
 −
67
10
( -
4
5
) − ((10(
11
50
 −
1
100
) ÷ ( x ÷ 1600 −
1
100
)) + 90) ×
7
100
(
77
50
 − ( -
4
5
)) = 0
    The equation is reduced to :
     
5429
500
 −
3
5440
 x −
67
10
( -
4
5
) − ((10(
11
50
 −
1
100
) ÷ ( x ÷ 1600 −
1
100
)) + 90) ×
7
100
(
77
50
 − ( -
4
5
)) = 0
    Remove a bracket on the left of the equation:
     
5429
500
 −
3
5440
 x +
67
10
 ×
4
5
 − ((10(
11
50
 −
1
100
) ÷ ( x ÷ 1600 −
1
100
)) + 90) ×
7
100
(
77
50
 − ( -
4
5
)) = 0
    The equation is reduced to :
     
5429
500
 −
3
5440
 x +
134
25
 − ((10(
11
50
 −
1
100
) ÷ ( x ÷ 1600 −
1
100
)) + 90) ×
7
100
(
77
50
 − ( -
4
5
)) = 0
    The equation is reduced to :
     
8109
500
 −
3
5440
 x − ((10(
11
50
 −
1
100
) ÷ ( x ÷ 1600 −
1
100
)) + 90) ×
7
100
(
77
50
 − ( -
4
5
)) = 0
    Remove a bracket on the left of the equation:
     
8109
500
 −
3
5440
 x − (10(
11
50
 −
1
100
) ÷ ( x ÷ 1600 −
1
100
)) ×
7
100
(
77
50
 − ( -
4
5
)) − 90 ×
7
100
(
77
50
 − ( -
4
5
)) = 0
    The equation is reduced to :
     
8109
500
 −
3
5440
 x − (10(
11
50
 −
1
100
) ÷ ( x ÷ 1600 −
1
100
)) ×
7
100
(
77
50
 − ( -
4
5
)) −
63
10
(
77
50
 − ( -
4
5
)) = 0
    Remove a bracket on the left of the equation:
     
8109
500
 −
3
5440
 x − 10(
11
50
 −
1
100
) ÷ ( x ÷ 1600 −
1
100
) ×
7
100
(
77
50
 − ( -
4
5
)) −
63
10
(
77
50
 − ( -
4
5
)) = 0
    The equation is reduced to :
     
8109
500
 −
3
5440
 x −
7
10
(
11
50
 −
1
100
) ÷ ( x ÷ 1600 −
1
100
) × (
77
50
 − ( -
4
5
)) −
63
10
(
77
50
 − ( -
4
5
)) = 0
     Multiply both sides of the equation by:( x ÷ 1600 −
1
100
)
     
8109
500
( x ÷ 1600 −
1
100
) −
3
5440
 x ( x ÷ 1600 −
1
100
) −
7
10
(
11
50
 −
1
100
)(
77
50
 − ( -
4
5
)) −
63
10
(
77
50
 − ( -
4
5
))( x ÷ 1600 −
1
100
) = 0
    Remove a bracket on the left of the equation:
     
8109
500
 x ÷ 1600 −
8109
500
 ×
1
100
 −
3
5440
 x ( x ÷ 1600 −
1
100
) −
7
10
(
11
50
 −
1
100
)(
77
50
 − ( -
4
5
)) −
63
10
 = 0
    The equation is reduced to :
     
8109
800000
 x −
8109
50000
 −
3
5440
 x ( x ÷ 1600 −
1
100
) −
7
10
(
11
50
 −
1
100
)(
77
50
 − ( -
4
5
)) −
63
10
(
77
50
 − ( -
4
5
))( x ÷ 1600 −
1
100
) = 0

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

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