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 0.5*4.71*(8.5*50+75*h)+1.77*0.85*0.8*(550+(6*(12*18.8+h*21.5)*(9+h)/(12+h))) = 6891.255+6.181h .
    Question type: Equation
    Solution:Original question:
     
1
2
 ×
471
100
(
17
2
 × 50 + 75 h ) +
177
100
 ×
17
20
 ×
4
5
(550 + (6(12 ×
94
5
 + h ×
43
2
)(9 + h ) ÷ (12 + h ))) =
1378251
200
 +
6181
1000
 h
    Remove a bracket on the left of the equation:：
     
1
2
 ×
471
100
 ×
17
2
 × 50 +
1
2
 ×
471
100
 × 75 h +
177
100
 ×
17
20
 ×
4
5
(550 + (6(12 ×
94
5
 + h ×
43
2
)(9 + h ) ÷ (12 + h ))) =
1378251
200
 +
6181
1000
 h
    The equation is reduced to :
     
8007
8
 +
1413
8
 h +
3009
2500
(550 + (6(12 ×
94
5
 + h ×
43
2
)(9 + h ) ÷ (12 + h ))) =
1378251
200
 +
6181
1000
 h
    Remove a bracket on the left of the equation:
     
8007
8
 +
1413
8
 h +
3009
2500
 × 550 +
3009
2500
(6(12 ×
94
5
 + h ×
43
2
)(9 + h ) ÷ (12 + h )) =
1378251
200
 +
6181
1000
 h
    The equation is reduced to :
     
8007
8
 +
1413
8
 h +
33099
50
 +
3009
2500
(6(12 ×
94
5
 + h ×
43
2
)(9 + h ) ÷ (12 + h )) =
1378251
200
 +
6181
1000
 h
    The equation is reduced to :
     
332571
200
 +
1413
8
 h +
3009
2500
(6(12 ×
94
5
 + h ×
43
2
)(9 + h ) ÷ (12 + h )) =
1378251
200
 +
6181
1000
 h
    Remove a bracket on the left of the equation:
     
332571
200
 +
1413
8
 h +
3009
2500
 × 6(12 ×
94
5
 + h ×
43
2
)(9 + h ) ÷ (12 + h ) =
1378251
200
 +
6181
1000
 h
    The equation is reduced to :
     
332571
200
 +
1413
8
 h +
9027
1250
(12 ×
94
5
 + h ×
43
2
)(9 + h ) ÷ (12 + h ) =
1378251
200
 +
6181
1000
 h
     Multiply both sides of the equation by:(12 + h )
     
332571
200
(12 + h ) +
1413
8
 h (12 + h ) +
9027
1250
(12 ×
94
5
 + h ×
43
2
)(9 + h ) =
1378251
200
(12 + h ) +
6181
1000
 h (12 + h )
    Remove a bracket on the left of the equation:
     
332571
200
 × 12 +
332571
200
 h +
1413
8
 h (12 + h ) +
9027
1250
(12 ×
94
5
 + h ×
43
2
)(9 + h ) =
1378251
200
(12 + h ) +
6181
1000
 h (12 + h )
    Remove a bracket on the right of the equation:：
     
332571
200
 × 12 +
332571
200
 h +
1413
8
 h (12 + h ) +
9027
1250
(12 ×
94
5
 + h ×
43
2
)(9 + h ) =
1378251
200
 × 12 +
1378251
200
 h +
6181
1000
 h (12 + h )
    The equation is reduced to :
     
997713
50
 +
332571
200
 h +
1413
8
 h (12 + h ) +
9027
1250
(12 ×
94
5
 + h ×
43
2
)(9 + h ) =
4134753
50
 +
1378251
200
 h +
6181
1000
 h (12 + h )
    Remove a bracket on the left of the equation:
     
997713
50
 +
332571
200
 h +
1413
8
 h × 12 +
1413
8
 h h +
9027
1250
(12 ×
94
5
 + h ×
43
2
)(9 + h ) =
4134753
50
 +
1378251
200
 h +
6181
1000
 h (12 + h )
    Remove a bracket on the right of the equation:：
     
997713
50
 +
332571
200
 h +
1413
8
 h × 12 +
1413
8
 h h +
9027
1250
(12 ×
94
5
 + h ×
43
2
)(9 + h ) =
4134753
50
 +
1378251
200
 h +
6181
1000
 h × 12 +
6181
1000
 h h
    The equation is reduced to :
     
997713
50
 +
332571
200
 h +
4239
2
 h +
1413
8
 h h +
9027
1250
(12 ×
94
5
 + h ×
43
2
)(9 + h ) =
4134753
50
 +
1378251
200
 h +
18543
250
 h +
6181
1000
 h h
    The equation is reduced to :
     
997713
50
 +
756471
200
 h +
1413
8
 h h +
9027
1250
(12 ×
94
5
 + h ×
43
2
)(9 + h ) =
4134753
50
 +
6965427
1000
 h +
6181
1000
 h h
    Remove a bracket on the left of the equation:
     
997713
50
 +
756471
200
 h +
1413
8
 h h +
9027
1250
 × 12 ×
94
5
(9 + h ) +
9027
1250
 h =
4134753
50
 +
6965427
1000
 h +
6181
1000
 h h
    The equation is reduced to :
     
997713
50
 +
756471
200
 h +
1413
8
 h h +
5091228
3125
(9 + h ) +
388161
2500
 h (9 + h ) =
4134753
50
 +
6965427
1000
 h +
6181
1000
 h h
    Remove a bracket on the left of the equation:
     
997713
50
 +
756471
200
 h +
1413
8
 h h +
5091228
3125
 × 9 +
5091228
3125
 h +
388161
2500
 h =
4134753
50
 +
6965427
1000
 h +
6181
1000
 h h
    The equation is reduced to :
     
997713
50
 +
756471
200
 h +
1413
8
 h h +
45821052
3125
 +
5091228
3125
 h +
388161
2500
 h (9 + h ) =
4134753
50
 +
6965427
1000
 h +
6181
1000
 h h
    The equation is reduced to :
     
216356229
6250
 +
135288699
25000
 h +
1413
8
 h h +
388161
2500
 h (9 + h ) =
4134753
50
 +
6965427
1000
 h +
6181
1000
 h h
    Remove a bracket on the left of the equation:
     
216356229
6250
 +
135288699
25000
 h +
1413
8
 h h +
388161
2500
 h × 9 +
388161
2500
 h h =
4134753
50
 +
6965427
1000
 h +
6181
1000
 h h
    The equation is reduced to :
     
216356229
6250
 +
135288699
25000
 h +
1413
8
 h h +
3493449
2500
 h +
388161
2500
 h h =
4134753
50
 +
6965427
1000
 h +
6181
1000
 h h

    The solution of the equation:
        h1≈-11.911647 , keep 6 decimal places
        h2≈12.392137 , keep 6 decimal places    
    There are 2 solution(s).

解程的详细方法请参阅：《方程的解法》


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。