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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 （82899-2.5X）*11.4/22.4*0.9 = 19390+10X .
Question type: Equation
Solution:Original question:
| ( | 82899 | − | 5 2 | X | ) | × | 57 5 | ÷ | 112 5 | × | 9 10 | = | 19390 | + | 10 | X |
| Left side of the equation = | ( | 82899 | − | 5 2 | X | ) | × | 513 1120 |
| ( | 82899 | − | 5 2 | X | ) | × | 513 1120 | = | 19390 | + | 10 | X |
| Left side of the equation = | 82899 | × | 513 1120 | − | 5 2 | X | × | 513 1120 |
| = | 42527187 1120 | − | 513 448 | X |
42527187 1120 | − | 513 448 | X | = | 19390 | + | 10 | X |
Transposition :
| - | 513 448 | X | − | 10 | X | = | 19390 | − | 42527187 1120 |
Combine the items on the left of the equation:
| - | 4993 448 | X | = | 19390 | − | 42527187 1120 |
Combine the items on the right of the equation:
| - | 4993 448 | X | = | - | 20810387 1120 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
20810387 1120 | = | 4993 448 | 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 :
4993 448 | X | = | 20810387 1120 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 20810387 1120 | ÷ | 4993 448 |
| = | 20810387 1120 | × | 448 4993 |
| = | 20810387 5 | × | 2 4993 |
We obtained :
| X | = | 41620774 24965 |
Convert the result to decimal form :
| X | = | 1667.164991 |