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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）×0.8 = 40.221+67.242-x .
Question type: Equation
Solution:Original question:
| ( | 40221 1000 | + | x | ) | × | 4 5 | = | 40221 1000 | + | 33621 500 | − | x |
| Left side of the equation = | 40221 1000 | × | 4 5 | + | x | × | 4 5 |
| = | 40221 1250 | + | x | × | 4 5 |
40221 1250 | + | 4 5 | x | = | 40221 1000 | + | 33621 500 | − | x |
| Right side of the equation = | 107463 1000 | − | x |
40221 1250 | + | 4 5 | x | = | 107463 1000 | − | x |
Transposition :
4 5 | x | + | x | = | 107463 1000 | − | 40221 1250 |
Combine the items on the left of the equation:
9 5 | x | = | 107463 1000 | − | 40221 1250 |
Combine the items on the right of the equation:
9 5 | x | = | 376431 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 376431 5000 | ÷ | 9 5 |
| = | 376431 5000 | × | 5 9 |
| = | 125477 1000 | × | 1 3 |
We obtained :
| x | = | 125477 3000 |
Convert the result to decimal form :
| x | = | 41.825667 |