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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
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 1447*3*（1+16x/（x+2000））*0.9 = 30000 .
Question type: Equation
Solution:Original question:
| 1447 | × | 3 | ( | 1 | + | 16 | x | ÷ | ( | x | + | 2000 | ) | ) | × | 9 10 | = | 30000 |
| 1447 | × | 3 | × | 1 | × | 9 10 | + | 1447 | × | 3 | × | 16 | x | ÷ | ( | x | + | 2000 | ) | × | 9 10 | = | 30000 |
39069 10 | + | 312552 5 | x | ÷ | ( | x | + | 2000 | ) | = | 30000 |
| Multiply both sides of the equation by: | ( | x | + | 2000 | ) |
39069 10 | ( | x | + | 2000 | ) | + | 312552 5 | x | = | 30000 | ( | x | + | 2000 | ) |
39069 10 | x | + | 39069 10 | × | 2000 | + | 312552 5 | x | = | 30000 | ( | x | + | 2000 | ) |
39069 10 | x | + | 39069 10 | × | 2000 | + | 312552 5 | x | = | 30000 | x | + | 30000 | × | 2000 |
39069 10 | x | + | 7813800 | + | 312552 5 | x | = | 30000 | x | + | 60000000 |
664173 10 | x | + | 7813800 | = | 30000 | x | + | 60000000 |
Transposition :
664173 10 | x | − | 30000 | x | = | 60000000 | − | 7813800 |
Combine the items on the left of the equation:
364173 10 | x | = | 60000000 | − | 7813800 |
Combine the items on the right of the equation:
364173 10 | x | = | 52186200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 52186200 | ÷ | 364173 10 |
| = | 52186200 | × | 10 364173 |
| = | 17395400 | × | 10 121391 |
We obtained :
| x | = | 173954000 121391 |
Convert the result to decimal form :
| x | = | 1433.005742 |