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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 （75505-2.5X）*9.6/20.6*0.9 = 19740+8X .
Question type: Equation
Solution:Original question:
| ( | 75505 | − | 5 2 | X | ) | × | 48 5 | ÷ | 103 5 | × | 9 10 | = | 19740 | + | 8 | X |
| Left side of the equation = | ( | 75505 | − | 5 2 | X | ) | × | 216 515 |
| ( | 75505 | − | 5 2 | X | ) | × | 216 515 | = | 19740 | + | 8 | X |
| Left side of the equation = | 75505 | × | 216 515 | − | 5 2 | X | × | 216 515 |
| = | 3261816 103 | − | 108 103 | X |
3261816 103 | − | 108 103 | X | = | 19740 | + | 8 | X |
Transposition :
| - | 108 103 | X | − | 8 | X | = | 19740 | − | 3261816 103 |
Combine the items on the left of the equation:
| - | 932 103 | X | = | 19740 | − | 3261816 103 |
Combine the items on the right of the equation:
| - | 932 103 | X | = | - | 1228596 103 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1228596 103 | = | 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 | = | 1228596 103 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 1228596 103 | ÷ | 932 103 |
| = | 1228596 103 | × | 103 932 |
| = | 307149 103 | × | 103 233 |
We obtained :
| X | = | 31636347 23999 |
By reducing fraction, we can get:
| X | = | 307149 233 |
Convert the result to decimal form :
| X | = | 1318.236052 |