Mathematics
         
语言：中文    Language:English
Equations   
Fold
Unary equation
Multivariate equation
Math OP  
Unfold
Linear algebra      
Unfold
Derivative function
Function image
Hot issues
On line Solution of Monovariate Equation：
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    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 （1000+112*x）/5.6+150/(1/6*2*2.8*2.8) = 1.2*(150+55.5*(x-0.5)) .
    Question type: Equation
    Solution:Original question:
     (1000 + 112 x ) ÷
28
5
 + 150 ÷ (1 ÷ 6 × 2 ×
14
5
 ×
14
5
) =
6
5
(150 +
111
2
( x −
1
2
))
     Multiply both sides of the equation by:(1 ÷ 6 × 2 ×
14
5
 ×
14
5
)
     (1000 + 112 x ) ÷
28
5
 × (1 ÷ 6 × 2 ×
14
5
 ×
14
5
) + 150 =
6
5
(150 +
111
2
( x −
1
2
))(1 ÷ 6 × 2 ×
14
5
 ×
14
5
)
    Remove a bracket on the left of the equation:：
     1000 ÷
28
5
 × (1 ÷ 6 × 2 ×
14
5
 ×
14
5
) + 112 x ÷
28
5
 × (1 ÷ 6 × 2 ×
14
5
 ×
14
5
) + 150 =
6
5
(150 +
111
2
( x −
1
2
))(1 ÷ 6 × 2 ×
14
5
 ×
14
5
)
    Remove a bracket on the right of the equation:：
     1000 ÷
28
5
 × (1 ÷ 6 × 2 ×
14
5
 ×
14
5
) + 112 x ÷
28
5
 × (1 ÷ 6 × 2 ×
14
5
 ×
14
5
) + 150 =
6
5
 × 150(1 ÷ 6 × 2 ×
14
5
 ×
14
5
) +
6
5
 ×
111
2
( x −
1
2
)(1 ÷ 6 × 2 ×
14
5
 ×
14
5
)
    The equation is reduced to :
     
1250
7
(1 ÷ 6 × 2 ×
14
5
 ×
14
5
) + 20 x (1 ÷ 6 × 2 ×
14
5
 ×
14
5
) + 150 = 180(1 ÷ 6 × 2 ×
14
5
 ×
14
5
) +
333
5
( x −
1
2
)(1 ÷ 6 × 2 ×
14
5
 ×
14
5
)
    Remove a bracket on the left of the equation:
     
1250
7
 × 1 ÷ 6 × 2 ×
14
5
 ×
14
5
 + 20 x (1 ÷ 6 × 2 ×
14
5
 ×
14
5
) + 150 = 180(1 ÷ 6 × 2 ×
14
5
 ×
14
5
) +
333
5
( x −
1
2
)(1 ÷ 6 × 2 ×
14
5
 ×
14
5
)
    Remove a bracket on the right of the equation:：
     
1250
7
 × 1 ÷ 6 × 2 ×
14
5
 ×
14
5
 + 20 x (1 ÷ 6 × 2 ×
14
5
 ×
14
5
) + 150 = 180 × 1 ÷ 6 × 2 ×
14
5
 ×
14
5
 +
333
5
( x −
1
2
)(1 ÷ 6 × 2 ×
14
5
 ×
14
5
)
    The equation is reduced to :
     
1400
3
 + 20 x (1 ÷ 6 × 2 ×
14
5
 ×
14
5
) + 150 =
2352
5
 +
333
5
( x −
1
2
)(1 ÷ 6 × 2 ×
14
5
 ×
14
5
)
    The equation is reduced to :
     
1850
3
 + 20 x (1 ÷ 6 × 2 ×
14
5
 ×
14
5
) =
2352
5
 +
333
5
( x −
1
2
)(1 ÷ 6 × 2 ×
14
5
 ×
14
5
)
    Remove a bracket on the left of the equation:
     
1850
3
 + 20 x × 1 ÷ 6 × 2 ×
14
5
 ×
14
5
 =
2352
5
 +
333
5
( x −
1
2
)(1 ÷ 6 × 2 ×
14
5
 ×
14
5
)
    Remove a bracket on the right of the equation:：
     
1850
3
 + 20 x × 1 ÷ 6 × 2 ×
14
5
 ×
14
5
 =
2352
5
 +
333
5
 x (1 ÷ 6 × 2 ×
14
5
 ×
14
5
) −
333
5
 ×
1
2
(1 ÷ 6 × 2 ×
14
5
 ×
14
5
)
    The equation is reduced to :
     
1850
3
 +
784
15
 x =
2352
5
 +
333
5
 x (1 ÷ 6 × 2 ×
14
5
 ×
14
5
) −
333
10
(1 ÷ 6 × 2 ×
14
5
 ×
14
5
)
    Remove a bracket on the right of the equation:：
     
1850
3
 +
784
15
 x =
2352
5
 +
333
5
 x × 1 ÷ 6 × 2 ×
14
5
 ×
14
5
 −
333
10
(1 ÷ 6 × 2 ×
14
5
 ×
14
5
)
    The equation is reduced to :
     
1850
3
 +
784
15
 x =
2352
5
 +
21756
125
 x −
333
10
(1 ÷ 6 × 2 ×
14
5
 ×
14
5
)
    Remove a bracket on the right of the equation:：
     
1850
3
 +
784
15
 x =
2352
5
 +
21756
125
 x −
333
10
 × 1 ÷ 6 × 2 ×
14
5
 ×
14
5
    The equation is reduced to :
     
1850
3
 +
784
15
 x =
2352
5
 +
21756
125
 x −
10878
125
    The equation is reduced to :
     
1850
3
 +
784
15
 x =
47922
125
 +
21756
125
 x

    Transposition :
     
784
15
 x −
21756
125
 x =
47922
125
 −
1850
3

    Combine the items on the left of the equation:
      -
45668
375
 x =
47922
125
 −
1850
3

    Combine the items on the right of the equation:
      -
45668
375
 x = -
87484
375

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
87484
375
 =
45668
375
 x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
45668
375
 x =
87484
375

    The coefficient of the unknown number is reduced to 1 :
      x =
87484
375
 ÷
45668
375
        =
87484
375
 ×
375
45668
        = 21871 ×
1
11417

    We obtained :
      x =
21871
11417
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 1.915652



Your problem has not been solved here? Please go to the Hot Problems section！


Return



  New addition:Lenders ToolBox module（Specific location：Math OP > Lenders ToolBox ），welcome。