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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 (65*0.9-x)*0.77-x = 65*0.4 .
Question type: Equation
Solution:Original question:
| ( | 65 | × | 9 10 | − | x | ) | × | 77 100 | − | x | = | 65 | × | 2 5 |
| Left side of the equation = | 65 | × | 9 10 | × | 77 100 | − | x | × | 77 100 | − | x |
| = | 9009 200 | − | x | × | 77 100 | − | x |
| = | 9009 200 | − | 177 100 | x |
9009 200 | − | 177 100 | x | = | 65 | × | 2 5 |
| Right side of the equation = | 26 |
9009 200 | − | 177 100 | x | = | 26 |
Transposition :
| - | 177 100 | x | = | 26 | − | 9009 200 |
Combine the items on the right of the equation:
| - | 177 100 | x | = | - | 3809 200 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
3809 200 | = | 177 100 | 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 :
177 100 | x | = | 3809 200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3809 200 | ÷ | 177 100 |
| = | 3809 200 | × | 100 177 |
| = | 3809 2 | × | 1 177 |
We obtained :
| x | = | 3809 354 |
Convert the result to decimal form :
| x | = | 10.759887 |