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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 (39.932+x)×2.05 = 39.932+67.664-x .
Question type: Equation
Solution:Original question:
| ( | 9983 250 | + | x | ) | × | 41 20 | = | 9983 250 | + | 8458 125 | − | x |
| Left side of the equation = | 9983 250 | × | 41 20 | + | x | × | 41 20 |
| = | 409303 5000 | + | x | × | 41 20 |
409303 5000 | + | 41 20 | x | = | 9983 250 | + | 8458 125 | − | x |
| Right side of the equation = | 26899 250 | − | x |
409303 5000 | + | 41 20 | x | = | 26899 250 | − | x |
Transposition :
41 20 | x | + | x | = | 26899 250 | − | 409303 5000 |
Combine the items on the left of the equation:
61 20 | x | = | 26899 250 | − | 409303 5000 |
Combine the items on the right of the equation:
61 20 | x | = | 128677 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 128677 5000 | ÷ | 61 20 |
| = | 128677 5000 | × | 20 61 |
| = | 128677 250 | × | 1 61 |
We obtained :
| x | = | 128677 15250 |
Convert the result to decimal form :
| x | = | 8.437836 |