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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）×1.15 = 40.221+70.242+x .
Question type: Equation
Solution:Original question:
| ( | 40221 1000 | + | x | ) | × | 23 20 | = | 40221 1000 | + | 35121 500 | + | x |
| Left side of the equation = | 40221 1000 | × | 23 20 | + | x | × | 23 20 |
| = | 925083 20000 | + | x | × | 23 20 |
925083 20000 | + | 23 20 | x | = | 40221 1000 | + | 35121 500 | + | x |
| Right side of the equation = | 110463 1000 | + | x |
925083 20000 | + | 23 20 | x | = | 110463 1000 | + | x |
Transposition :
23 20 | x | − | x | = | 110463 1000 | − | 925083 20000 |
Combine the items on the left of the equation:
3 20 | x | = | 110463 1000 | − | 925083 20000 |
Combine the items on the right of the equation:
3 20 | x | = | 1284177 20000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1284177 20000 | ÷ | 3 20 |
| = | 1284177 20000 | × | 20 3 |
| = | 428059 1000 | × | 1 |
We obtained :
| x | = | 428059 1000 |
Convert the result to decimal form :
| x | = | 428.059 |