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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 (0.1*2.138+2*x)/(2.138+x)-0.2 = 0 .
Question type: Equation
Solution:Original question:
| ( | 1 10 | × | 1069 500 | + | 2 | x | ) | ÷ | ( | 1069 500 | + | x | ) | − | 1 5 | = | 0 |
| Multiply both sides of the equation by: | ( | 1069 500 | + | x | ) |
| ( | 1 10 | × | 1069 500 | + | 2 | x | ) | − | 1 5 | ( | 1069 500 | + | x | ) | = | 0 |
1 10 | × | 1069 500 | + | 2 | x | − | 1 5 | ( | 1069 500 | + | x | ) | = | 0 |
1069 5000 | + | 2 | x | − | 1 5 | ( | 1069 500 | + | x | ) | = | 0 |
1069 5000 | + | 2 | x | − | 1 5 | × | 1069 500 | − | 1 5 | x | = | 0 |
1069 5000 | + | 2 | x | − | 1069 2500 | − | 1 5 | x | = | 0 |
| - | 1069 5000 | + | 9 5 | x | = | 0 |
Transposition :
9 5 | x | = | 0 | + | 1069 5000 |
Combine the items on the right of the equation:
9 5 | x | = | 1069 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1069 5000 | ÷ | 9 5 |
| = | 1069 5000 | × | 5 9 |
| = | 1069 1000 | × | 1 9 |
We obtained :
| x | = | 1069 9000 |
Convert the result to decimal form :
| x | = | 0.118778 |