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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*0.6（10-10x+0.3）-0.71+0.056*3 .
Question type: Equation
Solution:Original question:
| 10 | x | = | 41 100 | × | 3 5 | ( | 10 | − | 10 | x | + | 3 10 | ) | − | 71 100 | + | 7 125 | × | 3 |
| Right side of the equation = | 123 500 | ( | 10 | − | 10 | x | + | 3 10 | ) | − | 71 100 | + | 21 125 |
| = | 123 500 | ( | 10 | − | 10 | x | + | 3 10 | ) | − | 271 500 |
| 10 | x | = | 123 500 | ( | 10 | − | 10 | x | + | 3 10 | ) | − | 271 500 |
| Right side of the equation = | 123 500 | × | 10 | − | 123 500 | × | 10 | x | + | 123 500 | × | 3 10 | − | 271 500 |
| = | 123 50 | − | 123 50 | x | + | 369 5000 | − | 271 500 |
| = | 9959 5000 | − | 123 50 | x |
| 10 | x | = | 9959 5000 | − | 123 50 | x |
Transposition :
| 10 | x | + | 123 50 | x | = | 9959 5000 |
Combine the items on the left of the equation:
623 50 | x | = | 9959 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 9959 5000 | ÷ | 623 50 |
| = | 9959 5000 | × | 50 623 |
| = | 9959 100 | × | 1 623 |
We obtained :
| x | = | 9959 62300 |
Convert the result to decimal form :
| x | = | 0.159856 |