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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 30398.13-X*0.0003+(X+X*0.0003)*0.25 = X .
Question type: Equation
Solution:Original question:
3039813 100 | − | X | × | 3 10000 | + | ( | X | + | X | × | 3 10000 | ) | × | 1 4 | = | X |
| Left side of the equation = | 3039813 100 | − | 3 10000 | X | + | X | × | 1 4 | + | X | × | 3 10000 | × | 1 4 |
| = | 3039813 100 | − | 3 10000 | X | + | X | × | 1 4 | + | X | × | 3 40000 |
| = | 3039813 100 | + | 9991 40000 | X |
3039813 100 | + | 9991 40000 | X | = | X |
Transposition :
9991 40000 | X | − | X | = | - | 3039813 100 |
Combine the items on the left of the equation:
| - | 30009 40000 | X | = | - | 3039813 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
3039813 100 | = | 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 | = | 3039813 100 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 3039813 100 | ÷ | 30009 40000 |
| = | 3039813 100 | × | 40000 30009 |
| = | 144753 | × | 400 1429 |
We obtained :
| X | = | 57901200 1429 |
Convert the result to decimal form :
| X | = | 40518.684395 |