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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.
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
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Work: Find the solution of equation (5/0.3-1)/(（2/60）+（1/60000）) = 60a/（120+a/2） .
Question type: Equation
Solution:Original question:
| ( | 5 | ÷ | 3 10 | − | 1 | ) | ÷ | ( | ( | 2 | ÷ | 60 | ) | + | ( | 1 | ÷ | 60000 | ) | ) | = | 60 | a | ÷ | ( | 120 | + | a | ÷ | 2 | ) |
| Multiply both sides of the equation by: | ( | ( | 2 | ÷ | 60 | ) | + | ( | 1 | ÷ | 60000 | ) | ) | , | ( | 120 | + | a | ÷ | 2 | ) |
| ( | 5 | ÷ | 3 10 | − | 1 | ) | ( | 120 | + | a | ÷ | 2 | ) | = | 60 | a | ( | ( | 2 | ÷ | 60 | ) | + | ( | 1 | ÷ | 60000 | ) | ) |
| 5 | ÷ | 3 10 | × | ( | 120 | + | a | ÷ | 2 | ) | − | 1 | ( | 120 | + | a | ÷ | 2 | ) | = | 60 | a | ( | ( | 2 | ÷ | 60 | ) | + | ( | 1 | ÷ | 60000 | ) | ) |
| 5 | ÷ | 3 10 | × | ( | 120 | + | a | ÷ | 2 | ) | − | 1 | ( | 120 | + | a | ÷ | 2 | ) | = | 60 | a | ( | 2 | ÷ | 60 | ) | + | 60 | a | ( | 1 | ÷ | 60000 | ) |
50 3 | ( | 120 | + | a | ÷ | 2 | ) | − | 1 | ( | 120 | + | a | ÷ | 2 | ) | = | 60 | a | ( | 2 | ÷ | 60 | ) | + | 60 | a | ( | 1 | ÷ | 60000 | ) |
50 3 | × | 120 | + | 50 3 | a | ÷ | 2 | − | 1 | ( | 120 | + | a | ÷ | 2 | ) | = | 60 | a | ( | 2 | ÷ | 60 | ) | + | 60 | a | ( | 1 | ÷ | 60000 | ) |
50 3 | × | 120 | + | 50 3 | a | ÷ | 2 | − | 1 | ( | 120 | + | a | ÷ | 2 | ) | = | 60 | a | × | 2 | ÷ | 60 | + | 60 | a | ( | 1 | ÷ | 60000 | ) |
| 2000 | + | 25 3 | a | − | 1 | ( | 120 | + | a | ÷ | 2 | ) | = | 2 | a | + | 60 | a | ( | 1 | ÷ | 60000 | ) |
| 2000 | + | 25 3 | a | − | 1 | × | 120 | − | 1 | a | ÷ | 2 | = | 2 | a | + | 60 | a | ( | 1 | ÷ | 60000 | ) |
| 2000 | + | 25 3 | a | − | 1 | × | 120 | − | 1 | a | ÷ | 2 | = | 2 | a | + | 60 | a | × | 1 | ÷ | 60000 |
| 2000 | + | 25 3 | a | − | 120 | − | 1 2 | a | = | 2 | a | + | 1 1000 | a |
| 1880 | + | 47 6 | a | = | 2001 1000 | a |
Transposition :
47 6 | a | − | 2001 1000 | a | = | - | 1880 |
Combine the items on the left of the equation:
17497 3000 | a | = | - | 1880 |
The coefficient of the unknown number is reduced to 1 :
| a | = | - | 1880 | ÷ | 17497 3000 |
| = | - | 1880 | × | 3000 17497 |
We obtained :
| a | = | - | 5640000 17497 |
Convert the result to decimal form :
| a | = | - 322.340973 |