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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）×1.95 = 39.402+71.604-x .
Question type: Equation
Solution:Original question:
| ( | 19701 500 | + | x | ) | × | 39 20 | = | 19701 500 | + | 17901 250 | − | x |
| Left side of the equation = | 19701 500 | × | 39 20 | + | x | × | 39 20 |
| = | 768339 10000 | + | x | × | 39 20 |
768339 10000 | + | 39 20 | x | = | 19701 500 | + | 17901 250 | − | x |
| Right side of the equation = | 55503 500 | − | x |
768339 10000 | + | 39 20 | x | = | 55503 500 | − | x |
Transposition :
39 20 | x | + | x | = | 55503 500 | − | 768339 10000 |
Combine the items on the left of the equation:
59 20 | x | = | 55503 500 | − | 768339 10000 |
Combine the items on the right of the equation:
59 20 | x | = | 341721 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 341721 10000 | ÷ | 59 20 |
| = | 341721 10000 | × | 20 59 |
| = | 341721 500 | × | 1 59 |
We obtained :
| x | = | 341721 29500 |
Convert the result to decimal form :
| x | = | 11.583763 |