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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 （80263-1.5X）*10.4/22.4*0.9 = 19117+8.6X .
Question type: Equation
Solution:Original question:
| ( | 80263 | − | 3 2 | X | ) | × | 52 5 | ÷ | 112 5 | × | 9 10 | = | 19117 | + | 43 5 | X |
| Left side of the equation = | ( | 80263 | − | 3 2 | X | ) | × | 117 280 |
| ( | 80263 | − | 3 2 | X | ) | × | 117 280 | = | 19117 | + | 43 5 | X |
| Left side of the equation = | 80263 | × | 117 280 | − | 3 2 | X | × | 117 280 |
| = | 9390771 280 | − | 351 560 | X |
9390771 280 | − | 351 560 | X | = | 19117 | + | 43 5 | X |
Transposition :
| - | 351 560 | X | − | 43 5 | X | = | 19117 | − | 9390771 280 |
Combine the items on the left of the equation:
| - | 5167 560 | X | = | 19117 | − | 9390771 280 |
Combine the items on the right of the equation:
| - | 5167 560 | X | = | - | 4038011 280 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
4038011 280 | = | 5167 560 | 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 :
5167 560 | X | = | 4038011 280 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 4038011 280 | ÷ | 5167 560 |
| = | 4038011 280 | × | 560 5167 |
| = | 4038011 | × | 2 5167 |
We obtained :
| X | = | 8076022 5167 |
Convert the result to decimal form :
| X | = | 1563.000194 |