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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 302108.91-238-8816.56-X = （25984.14-499.05-X/1.01*0.01）*1.12 .
Question type: Equation
Solution:Original question:
30210891 100 | − | 238 | − | 220414 25 | − | X | = | ( | 1299207 50 | − | 9981 20 | − | X | ÷ | 101 100 | × | 1 100 | ) | × | 28 25 |
| Left side of the equation = | 5861087 20 | − | X |
5861087 20 | − | X | = | ( | 1299207 50 | − | 9981 20 | − | X | ÷ | 101 100 | × | 1 100 | ) | × | 28 25 |
| Right side of the equation = | 1299207 50 | × | 28 25 | − | 9981 20 | × | 28 25 | − | X | ÷ | 101 100 | × | 1 100 | × | 28 25 |
| = | 18188898 625 | − | 69867 125 | − | X | × | 28 2525 |
| = | 17839563 625 | − | 28 2525 | X |
5861087 20 | − | X | = | 17839563 625 | − | 28 2525 | X |
Transposition :
| - | X | + | 28 2525 | X | = | 17839563 625 | − | 5861087 20 |
Combine the items on the left of the equation:
| - | 2497 2525 | X | = | 17839563 625 | − | 5861087 20 |
Combine the items on the right of the equation:
| - | 2497 2525 | X | = | - | 661277623 2500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
661277623 2500 | = | 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 | = | 661277623 2500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 661277623 2500 | ÷ | 2497 2525 |
| = | 661277623 2500 | × | 2525 2497 |
| = | 661277623 100 | × | 101 2497 |
We obtained :
| X | = | 66789039923 249700 |