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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 X-0.173X-（(X-5000-0.173X)*0.03） = 5000 .
Question type: Equation
Solution:Original question:
| X | − | 173 1000 | X | − | ( | ( | X | − | 5000 | − | 173 1000 | X | ) | × | 3 100 | ) | = | 5000 |
| Left side of the equation = | 827 1000 | X | − | ( | ( | X | − | 5000 | − | 173 1000 | X | ) | × | 3 100 | ) |
827 1000 | X | − | ( | ( | X | − | 5000 | − | 173 1000 | X | ) | × | 3 100 | ) | = | 5000 |
| Left side of the equation = | 827 1000 | X | − | ( | X | − | 5000 | − | 173 1000 | X | ) | × | 3 100 |
| = | 827 1000 | X | − | X | × | 3 100 | + | 5000 | × | 3 100 | + | 173 1000 | X | × | 3 100 |
| = | 827 1000 | X | − | X | × | 3 100 | + | 150 | + | 519 100000 | X |
| = | 80219 100000 | X | + | 150 |
80219 100000 | X | + | 150 | = | 5000 |
Transposition :
80219 100000 | X | = | 5000 | − | 150 |
Combine the items on the right of the equation:
80219 100000 | X | = | 4850 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 4850 | ÷ | 80219 100000 |
| = | 4850 | × | 100000 80219 |
We obtained :
| X | = | 485000000 80219 |
By reducing fraction, we can get:
| X | = | 5000000 827 |
Convert the result to decimal form :
| X | = | 6045.949214 |