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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-5000-1023）*0.03 = X-8123.39-1023 .
Question type: Equation
Solution:Original question:
| ( | X | − | 5000 | − | 1023 | ) | × | 3 100 | = | X | − | 812339 100 | − | 1023 |
| Left side of the equation = | X | × | 3 100 | − | 5000 | × | 3 100 | − | 1023 | × | 3 100 |
| = | X | × | 3 100 | − | 150 | − | 3069 100 |
| = | 3 100 | X | − | 18069 100 |
3 100 | X | − | 18069 100 | = | X | − | 812339 100 | − | 1023 |
| Right side of the equation = | X | − | 914639 100 |
3 100 | X | − | 18069 100 | = | X | − | 914639 100 |
Transposition :
3 100 | X | − | X | = | - | 914639 100 | + | 18069 100 |
Combine the items on the left of the equation:
| - | 97 100 | X | = | - | 914639 100 | + | 18069 100 |
Combine the items on the right of the equation:
| - | 97 100 | X | = | - | 89657 10 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
89657 10 | = | 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 | = | 89657 10 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 89657 10 | ÷ | 97 100 |
| = | 89657 10 | × | 100 97 |
| = | 89657 | × | 10 97 |
We obtained :
| X | = | 896570 97 |
Convert the result to decimal form :
| X | = | 9242.989691 |