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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 (300+0.1*360+X)*0.266% = X .
Question type: Equation
Solution:Original question:
| ( | 300 | + | 1 10 | × | 360 | + | X | ) | × | 133 50000 | = | X |
| Left side of the equation = | 300 | × | 133 50000 | + | 1 10 | × | 360 | × | 133 50000 | + | X | × | 133 50000 |
| = | 399 500 | + | 1197 12500 | + | X | × | 133 50000 |
| = | 2793 3125 | + | 133 50000 | X |
2793 3125 | + | 133 50000 | X | = | X |
Transposition :
133 50000 | X | − | X | = | - | 2793 3125 |
Combine the items on the left of the equation:
| - | 49867 50000 | X | = | - | 2793 3125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2793 3125 | = | 49867 50000 | 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 :
49867 50000 | X | = | 2793 3125 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 2793 3125 | ÷ | 49867 50000 |
| = | 2793 3125 | × | 50000 49867 |
| = | 2793 | × | 16 49867 |
We obtained :
| X | = | 44688 49867 |
Convert the result to decimal form :
| X | = | 0.896144 |