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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 (26.293+x)×3.05 = 26.293+71.278-x .
Question type: Equation
Solution:Original question:
| ( | 26293 1000 | + | x | ) | × | 61 20 | = | 26293 1000 | + | 35639 500 | − | x |
| Left side of the equation = | 26293 1000 | × | 61 20 | + | x | × | 61 20 |
| = | 1603873 20000 | + | x | × | 61 20 |
1603873 20000 | + | 61 20 | x | = | 26293 1000 | + | 35639 500 | − | x |
| Right side of the equation = | 97571 1000 | − | x |
1603873 20000 | + | 61 20 | x | = | 97571 1000 | − | x |
Transposition :
61 20 | x | + | x | = | 97571 1000 | − | 1603873 20000 |
Combine the items on the left of the equation:
81 20 | x | = | 97571 1000 | − | 1603873 20000 |
Combine the items on the right of the equation:
81 20 | x | = | 347547 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 347547 20000 | ÷ | 81 20 |
| = | 347547 20000 | × | 20 81 |
| = | 115849 1000 | × | 1 27 |
We obtained :
| x | = | 115849 27000 |
Convert the result to decimal form :
| x | = | 4.290704 |