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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 0 = 0.41*x（10+0.3）-0.71+0.056*3 .
Question type: Equation
Solution:Original question:
| 0 | = | 41 100 | x | ( | 10 | + | 3 10 | ) | − | 71 100 | + | 7 125 | × | 3 |
| Right side of the equation = | 41 100 | x | ( | 10 | + | 3 10 | ) | − | 71 100 | + | 21 125 |
| = | 41 100 | x | ( | 10 | + | 3 10 | ) | − | 271 500 |
| 0 | = | 41 100 | x | ( | 10 | + | 3 10 | ) | − | 271 500 |
| Right side of the equation = | 41 100 | x | × | 10 | + | 41 100 | x | × | 3 10 | − | 271 500 |
| = | 41 10 | x | + | 123 1000 | x | − | 271 500 |
| = | 4223 1000 | x | − | 271 500 |
| 0 | = | 4223 1000 | x | − | 271 500 |
Transposition :
| - | 4223 1000 | x | = | - | 271 500 | − | 0 |
Combine the items on the right of the equation:
| - | 4223 1000 | x | = | - | 271 500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
271 500 | = | 4223 1000 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
4223 1000 | x | = | 271 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 271 500 | ÷ | 4223 1000 |
| = | 271 500 | × | 1000 4223 |
| = | 271 | × | 2 4223 |
We obtained :
| x | = | 542 4223 |
Convert the result to decimal form :
| x | = | 0.128345 |