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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 （77059-2.5X）*10.8/21.8*0.9 = 18356+9X .
Question type: Equation
Solution:Original question:
| ( | 77059 | − | 5 2 | X | ) | × | 54 5 | ÷ | 109 5 | × | 9 10 | = | 18356 | + | 9 | X |
| Left side of the equation = | ( | 77059 | − | 5 2 | X | ) | × | 243 545 |
| ( | 77059 | − | 5 2 | X | ) | × | 243 545 | = | 18356 | + | 9 | X |
| Left side of the equation = | 77059 | × | 243 545 | − | 5 2 | X | × | 243 545 |
| = | 18725337 545 | − | 243 218 | X |
18725337 545 | − | 243 218 | X | = | 18356 | + | 9 | X |
Transposition :
| - | 243 218 | X | − | 9 | X | = | 18356 | − | 18725337 545 |
Combine the items on the left of the equation:
| - | 2205 218 | X | = | 18356 | − | 18725337 545 |
Combine the items on the right of the equation:
| - | 2205 218 | X | = | - | 8721317 545 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
8721317 545 | = | 2205 218 | 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 :
2205 218 | X | = | 8721317 545 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 8721317 545 | ÷ | 2205 218 |
| = | 8721317 545 | × | 218 2205 |
We obtained :
| X | = | 1901247106 1201725 |
By reducing fraction, we can get:
| X | = | 17442634 11025 |
Convert the result to decimal form :
| X | = | 1582.098322 |