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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 （39.402+x）×1.55 = 39.402+72.104-x .
Question type: Equation
Solution:Original question:
| ( | 19701 500 | + | x | ) | × | 31 20 | = | 19701 500 | + | 9013 125 | − | x |
| Left side of the equation = | 19701 500 | × | 31 20 | + | x | × | 31 20 |
| = | 610731 10000 | + | x | × | 31 20 |
610731 10000 | + | 31 20 | x | = | 19701 500 | + | 9013 125 | − | x |
| Right side of the equation = | 55753 500 | − | x |
610731 10000 | + | 31 20 | x | = | 55753 500 | − | x |
Transposition :
31 20 | x | + | x | = | 55753 500 | − | 610731 10000 |
Combine the items on the left of the equation:
51 20 | x | = | 55753 500 | − | 610731 10000 |
Combine the items on the right of the equation:
51 20 | x | = | 504329 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 504329 10000 | ÷ | 51 20 |
| = | 504329 10000 | × | 20 51 |
| = | 504329 500 | × | 1 51 |
We obtained :
| x | = | 504329 25500 |
Convert the result to decimal form :
| x | = | 19.777608 |