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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 （84240-2.5X）*8.4/19.4*0.9 = 20320+7X .
Question type: Equation
Solution:Original question:
| ( | 84240 | − | 5 2 | X | ) | × | 42 5 | ÷ | 97 5 | × | 9 10 | = | 20320 | + | 7 | X |
| Left side of the equation = | ( | 84240 | − | 5 2 | X | ) | × | 189 485 |
| ( | 84240 | − | 5 2 | X | ) | × | 189 485 | = | 20320 | + | 7 | X |
| Left side of the equation = | 84240 | × | 189 485 | − | 5 2 | X | × | 189 485 |
| = | 3184272 97 | − | 189 194 | X |
3184272 97 | − | 189 194 | X | = | 20320 | + | 7 | X |
Transposition :
| - | 189 194 | X | − | 7 | X | = | 20320 | − | 3184272 97 |
Combine the items on the left of the equation:
| - | 1547 194 | X | = | 20320 | − | 3184272 97 |
Combine the items on the right of the equation:
| - | 1547 194 | X | = | - | 1213232 97 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1213232 97 | = | 1547 194 | 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 :
1547 194 | X | = | 1213232 97 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 1213232 97 | ÷ | 1547 194 |
| = | 1213232 97 | × | 194 1547 |
| = | 1213232 | × | 2 1547 |
We obtained :
| X | = | 2426464 1547 |
Convert the result to decimal form :
| X | = | 1568.496445 |