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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 （25984.14-X/1.01*0.01）*1.12 = 314696.78-X .
Question type: Equation
Solution:Original question:
| ( | 1299207 50 | − | X | ÷ | 101 100 | × | 1 100 | ) | × | 28 25 | = | 15734839 50 | − | X |
| Left side of the equation = | 1299207 50 | × | 28 25 | − | X | ÷ | 101 100 | × | 1 100 | × | 28 25 |
| = | 18188898 625 | − | X | × | 28 2525 |
18188898 625 | − | 28 2525 | X | = | 15734839 50 | − | X |
Transposition :
| - | 28 2525 | X | + | X | = | 15734839 50 | − | 18188898 625 |
Combine the items on the left of the equation:
| - | - | 2497 2525 | X | = | 15734839 50 | − | 18188898 625 |
Combine the items on the right of the equation:
| - | - | 2497 2525 | X | = | 356993179 1250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 356993179 1250 | = | - | 2497 2525 | 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 :
| - | 2497 2525 | X | = | - | 356993179 1250 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 356993179 1250 | ÷ | 2497 2525 |
| = | 356993179 1250 | × | 2525 2497 |
| = | 356993179 50 | × | 101 2497 |
We obtained :
| X | = | 36056311079 124850 |