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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 （109600-1.5X）*13.2/23.2*0.9 = 20228+11X .
Question type: Equation
Solution:Original question:
| ( | 109600 | − | 3 2 | X | ) | × | 66 5 | ÷ | 116 5 | × | 9 10 | = | 20228 | + | 11 | X |
| Left side of the equation = | ( | 109600 | − | 3 2 | X | ) | × | 297 580 |
| ( | 109600 | − | 3 2 | X | ) | × | 297 580 | = | 20228 | + | 11 | X |
| Left side of the equation = | 109600 | × | 297 580 | − | 3 2 | X | × | 297 580 |
| = | 1627560 29 | − | 891 1160 | X |
1627560 29 | − | 891 1160 | X | = | 20228 | + | 11 | X |
Transposition :
| - | 891 1160 | X | − | 11 | X | = | 20228 | − | 1627560 29 |
Combine the items on the left of the equation:
| - | 13651 1160 | X | = | 20228 | − | 1627560 29 |
Combine the items on the right of the equation:
| - | 13651 1160 | X | = | - | 1040948 29 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1040948 29 | = | 13651 1160 | 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 :
13651 1160 | X | = | 1040948 29 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 1040948 29 | ÷ | 13651 1160 |
| = | 1040948 29 | × | 1160 13651 |
| = | 1040948 | × | 40 13651 |
We obtained :
| X | = | 41637920 13651 |
Convert the result to decimal form :
| X | = | 3050.173614 |