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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 （2685.13-x/1.01*0.01）*1.12 = 31219.1-x .
Question type: Equation
Solution:Original question:
| ( | 268513 100 | − | x | ÷ | 101 100 | × | 1 100 | ) | × | 28 25 | = | 312191 10 | − | x |
| Left side of the equation = | 268513 100 | × | 28 25 | − | x | ÷ | 101 100 | × | 1 100 | × | 28 25 |
| = | 1879591 625 | − | x | × | 28 2525 |
1879591 625 | − | 28 2525 | x | = | 312191 10 | − | x |
Transposition :
| - | 28 2525 | x | + | x | = | 312191 10 | − | 1879591 625 |
Combine the items on the left of the equation:
| - | - | 2497 2525 | x | = | 312191 10 | − | 1879591 625 |
Combine the items on the right of the equation:
| - | - | 2497 2525 | x | = | 35264693 1250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 35264693 1250 | = | - | 2497 2525 | 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 :
| - | 2497 2525 | x | = | - | 35264693 1250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 35264693 1250 | ÷ | 2497 2525 |
| = | 35264693 1250 | × | 2525 2497 |
| = | 35264693 50 | × | 101 2497 |
We obtained :
| x | = | 3561733993 124850 |
Convert the result to decimal form :
| x | = | 28528.105671 |