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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+71.778-x .
Question type: Equation
Solution:Original question:
| ( | 26293 1000 | + | x | ) | × | 61 20 | = | 26293 1000 | + | 35889 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 | + | 35889 500 | − | x |
| Right side of the equation = | 98071 1000 | − | x |
1603873 20000 | + | 61 20 | x | = | 98071 1000 | − | x |
Transposition :
61 20 | x | + | x | = | 98071 1000 | − | 1603873 20000 |
Combine the items on the left of the equation:
81 20 | x | = | 98071 1000 | − | 1603873 20000 |
Combine the items on the right of the equation:
81 20 | x | = | 357547 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 357547 20000 | ÷ | 81 20 |
| = | 357547 20000 | × | 20 81 |
| = | 357547 1000 | × | 1 81 |
We obtained :
| x | = | 357547 81000 |
Convert the result to decimal form :
| x | = | 4.41416 |