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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 （40.221+x）×1.55 = 40.221+71.942-x .
Question type: Equation
Solution:Original question:
| ( | 40221 1000 | + | x | ) | × | 31 20 | = | 40221 1000 | + | 35971 500 | − | x |
| Left side of the equation = | 40221 1000 | × | 31 20 | + | x | × | 31 20 |
| = | 1246851 20000 | + | x | × | 31 20 |
1246851 20000 | + | 31 20 | x | = | 40221 1000 | + | 35971 500 | − | x |
| Right side of the equation = | 112163 1000 | − | x |
1246851 20000 | + | 31 20 | x | = | 112163 1000 | − | x |
Transposition :
31 20 | x | + | x | = | 112163 1000 | − | 1246851 20000 |
Combine the items on the left of the equation:
51 20 | x | = | 112163 1000 | − | 1246851 20000 |
Combine the items on the right of the equation:
51 20 | x | = | 996409 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 996409 20000 | ÷ | 51 20 |
| = | 996409 20000 | × | 20 51 |
| = | 996409 1000 | × | 1 51 |
We obtained :
| x | = | 996409 51000 |
Convert the result to decimal form :
| x | = | 19.537431 |