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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*0.221（10-10x）-0.71 .
Question type: Equation
Solution:Original question:
| 10 | x | = | 41 100 | × | 221 1000 | ( | 10 | − | 10 | x | ) | − | 71 100 |
| Right side of the equation = | 9061 100000 | ( | 10 | − | 10 | x | ) | − | 71 100 |
| 10 | x | = | 9061 100000 | ( | 10 | − | 10 | x | ) | − | 71 100 |
| Right side of the equation = | 9061 100000 | × | 10 | − | 9061 100000 | × | 10 | x | − | 71 100 |
| = | 9061 10000 | − | 9061 10000 | x | − | 71 100 |
| = | 1961 10000 | − | 9061 10000 | x |
| 10 | x | = | 1961 10000 | − | 9061 10000 | x |
Transposition :
| 10 | x | + | 9061 10000 | x | = | 1961 10000 |
Combine the items on the left of the equation:
109061 10000 | x | = | 1961 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1961 10000 | ÷ | 109061 10000 |
| = | 1961 10000 | × | 10000 109061 |
| = | 1961 | × | 1 109061 |
We obtained :
| x | = | 1961 109061 |
Convert the result to decimal form :
| x | = | 0.017981 |