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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 ((56.98+x)*1.065-x)*0.02 = x .
Question type: Equation
Solution:Original question:
| ( | ( | 2849 50 | + | x | ) | × | 213 200 | − | x | ) | × | 1 50 | = | x |
| Left side of the equation = | ( | 2849 50 | + | x | ) | × | 213 200 | × | 1 50 | − | x | × | 1 50 |
| = | ( | 2849 50 | + | x | ) | × | 213 10000 | − | x | × | 1 50 |
| = | 2849 50 | × | 213 10000 | + | x | × | 213 10000 | − | 1 50 | x |
| = | 606837 500000 | + | x | × | 213 10000 | − | 1 50 | x |
| = | 606837 500000 | + | 13 10000 | x |
606837 500000 | + | 13 10000 | x | = | x |
Transposition :
13 10000 | x | − | x | = | - | 606837 500000 |
Combine the items on the left of the equation:
| - | 9987 10000 | x | = | - | 606837 500000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
606837 500000 | = | 9987 10000 | 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 :
9987 10000 | x | = | 606837 500000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 606837 500000 | ÷ | 9987 10000 |
| = | 606837 500000 | × | 10000 9987 |
| = | 202279 50 | × | 1 3329 |
We obtained :
| x | = | 202279 166450 |
Convert the result to decimal form :
| x | = | 1.215254 |