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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 2000000-（184954.13-x/1.09*0.09*1.12-23303.99）-9174.31 = x .
Question type: Equation
Solution:Original question:
| 2000000 | − | ( | 18495413 100 | − | x | ÷ | 109 100 | × | 9 100 | × | 28 25 | − | 2330399 100 | ) | − | 917431 100 | = | x |
| Left side of the equation = | 199082569 100 | − | ( | 18495413 100 | − | x | ÷ | 109 100 | × | 9 100 | × | 28 25 | − | 2330399 100 | ) |
199082569 100 | − | ( | 18495413 100 | − | x | ÷ | 109 100 | × | 9 100 | × | 28 25 | − | 2330399 100 | ) | = | x |
| Left side of the equation = | 199082569 100 | − | 18495413 100 | + | x | ÷ | 109 100 | × | 9 100 | × | 28 25 | + | 2330399 100 |
| = | 199082569 100 | − | 18495413 100 | + | x | × | 252 2725 | + | 2330399 100 |
| = | 36583511 20 | + | 252 2725 | x |
36583511 20 | + | 252 2725 | x | = | x |
Transposition :
252 2725 | x | − | x | = | - | 36583511 20 |
Combine the items on the left of the equation:
| - | 2473 2725 | x | = | - | 36583511 20 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
36583511 20 | = | 2473 2725 | 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 :
2473 2725 | x | = | 36583511 20 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 36583511 20 | ÷ | 2473 2725 |
| = | 36583511 20 | × | 2725 2473 |
| = | 36583511 4 | × | 545 2473 |
We obtained :
| x | = | 19938013495 9892 |