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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 （62436-2.5X）*9.6/20.6*0.9 = 17472+8X .
Question type: Equation
Solution:Original question:
| ( | 62436 | − | 5 2 | X | ) | × | 48 5 | ÷ | 103 5 | × | 9 10 | = | 17472 | + | 8 | X |
| Left side of the equation = | ( | 62436 | − | 5 2 | X | ) | × | 216 515 |
| ( | 62436 | − | 5 2 | X | ) | × | 216 515 | = | 17472 | + | 8 | X |
| Left side of the equation = | 62436 | × | 216 515 | − | 5 2 | X | × | 216 515 |
| = | 13486176 515 | − | 108 103 | X |
13486176 515 | − | 108 103 | X | = | 17472 | + | 8 | X |
Transposition :
| - | 108 103 | X | − | 8 | X | = | 17472 | − | 13486176 515 |
Combine the items on the left of the equation:
| - | 932 103 | X | = | 17472 | − | 13486176 515 |
Combine the items on the right of the equation:
| - | 932 103 | X | = | - | 4488096 515 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
4488096 515 | = | 932 103 | 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 :
932 103 | X | = | 4488096 515 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 4488096 515 | ÷ | 932 103 |
| = | 4488096 515 | × | 103 932 |
| = | 1122024 515 | × | 103 233 |
We obtained :
| X | = | 115568472 119995 |
By reducing fraction, we can get:
| X | = | 1122024 1165 |
Convert the result to decimal form :
| X | = | 963.11073 |