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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*0.4（10-10x+0.3）-0.71+0.056*3 .
Question type: Equation
Solution:Original question:
| 10 | x | = | 41 100 | × | 2 5 | ( | 10 | − | 10 | x | + | 3 10 | ) | − | 71 100 | + | 7 125 | × | 3 |
| Right side of the equation = | 41 250 | ( | 10 | − | 10 | x | + | 3 10 | ) | − | 71 100 | + | 21 125 |
| = | 41 250 | ( | 10 | − | 10 | x | + | 3 10 | ) | − | 271 500 |
| 10 | x | = | 41 250 | ( | 10 | − | 10 | x | + | 3 10 | ) | − | 271 500 |
| Right side of the equation = | 41 250 | × | 10 | − | 41 250 | × | 10 | x | + | 41 250 | × | 3 10 | − | 271 500 |
| = | 41 25 | − | 41 25 | x | + | 123 2500 | − | 271 500 |
| = | 717 625 | − | 41 25 | x |
| 10 | x | = | 717 625 | − | 41 25 | x |
Transposition :
| 10 | x | + | 41 25 | x | = | 717 625 |
Combine the items on the left of the equation:
291 25 | x | = | 717 625 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 717 625 | ÷ | 291 25 |
| = | 717 625 | × | 25 291 |
| = | 239 25 | × | 1 97 |
We obtained :
| x | = | 239 2425 |
Convert the result to decimal form :
| x | = | 0.098557 |