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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 50701.38-X*0.0003+(X+X*0.0003)*0.25 = X .
Question type: Equation
Solution:Original question:
2535069 50 | − | X | × | 3 10000 | + | ( | X | + | X | × | 3 10000 | ) | × | 1 4 | = | X |
| Left side of the equation = | 2535069 50 | − | 3 10000 | X | + | X | × | 1 4 | + | X | × | 3 10000 | × | 1 4 |
| = | 2535069 50 | − | 3 10000 | X | + | X | × | 1 4 | + | X | × | 3 40000 |
| = | 2535069 50 | + | 9991 40000 | X |
2535069 50 | + | 9991 40000 | X | = | X |
Transposition :
9991 40000 | X | − | X | = | - | 2535069 50 |
Combine the items on the left of the equation:
| - | 30009 40000 | X | = | - | 2535069 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2535069 50 | = | 30009 40000 | X |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
30009 40000 | X | = | 2535069 50 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 2535069 50 | ÷ | 30009 40000 |
| = | 2535069 50 | × | 40000 30009 |
| = | 845023 | × | 800 10003 |
We obtained :
| X | = | 676018400 10003 |
Convert the result to decimal form :
| X | = | 67581.56553 |