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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 10x = 0.41*1（10-10x-0.3）-0.71-0.056*3 .
Question type: Equation
Solution:Original question:
| 10 | x | = | 41 100 | × | 1 | ( | 10 | − | 10 | x | − | 3 10 | ) | − | 71 100 | − | 7 125 | × | 3 |
| Right side of the equation = | 41 100 | ( | 10 | − | 10 | x | − | 3 10 | ) | − | 71 100 | − | 21 125 |
| = | 41 100 | ( | 10 | − | 10 | x | − | 3 10 | ) | − | 439 500 |
| 10 | x | = | 41 100 | ( | 10 | − | 10 | x | − | 3 10 | ) | − | 439 500 |
| Right side of the equation = | 41 100 | × | 10 | − | 41 100 | × | 10 | x | − | 41 100 | × | 3 10 | − | 439 500 |
| = | 41 10 | − | 41 10 | x | − | 123 1000 | − | 439 500 |
| = | 3099 1000 | − | 41 10 | x |
| 10 | x | = | 3099 1000 | − | 41 10 | x |
Transposition :
| 10 | x | + | 41 10 | x | = | 3099 1000 |
Combine the items on the left of the equation:
141 10 | x | = | 3099 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3099 1000 | ÷ | 141 10 |
| = | 3099 1000 | × | 10 141 |
| = | 1033 100 | × | 1 47 |
We obtained :
| x | = | 1033 4700 |
Convert the result to decimal form :
| x | = | 0.219787 |