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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 （X-5000-767.55）*0.03 = X-20000-737.55 .
Question type: Equation
Solution:Original question:
| ( | X | − | 5000 | − | 15351 20 | ) | × | 3 100 | = | X | − | 20000 | − | 14751 20 |
| Left side of the equation = | X | × | 3 100 | − | 5000 | × | 3 100 | − | 15351 20 | × | 3 100 |
| = | X | × | 3 100 | − | 150 | − | 46053 2000 |
| = | 3 100 | X | − | 346053 2000 |
3 100 | X | − | 346053 2000 | = | X | − | 20000 | − | 14751 20 |
| Right side of the equation = | X | − | 414751 20 |
3 100 | X | − | 346053 2000 | = | X | − | 414751 20 |
Transposition :
3 100 | X | − | X | = | - | 414751 20 | + | 346053 2000 |
Combine the items on the left of the equation:
| - | 97 100 | X | = | - | 414751 20 | + | 346053 2000 |
Combine the items on the right of the equation:
| - | 97 100 | X | = | - | 41129047 2000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
41129047 2000 | = | 97 100 | 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 :
97 100 | X | = | 41129047 2000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 41129047 2000 | ÷ | 97 100 |
| = | 41129047 2000 | × | 100 97 |
| = | 41129047 20 | × | 1 97 |
We obtained :
| X | = | 41129047 1940 |
Convert the result to decimal form :
| X | = | 21200.539691 |