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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 （99666-1.5X）*8.8/20.8*0.9 = 16802+7X .
Question type: Equation
Solution:Original question:
| ( | 99666 | − | 3 2 | X | ) | × | 44 5 | ÷ | 104 5 | × | 9 10 | = | 16802 | + | 7 | X |
| Left side of the equation = | ( | 99666 | − | 3 2 | X | ) | × | 99 260 |
| ( | 99666 | − | 3 2 | X | ) | × | 99 260 | = | 16802 | + | 7 | X |
| Left side of the equation = | 99666 | × | 99 260 | − | 3 2 | X | × | 99 260 |
| = | 4933467 130 | − | 297 520 | X |
4933467 130 | − | 297 520 | X | = | 16802 | + | 7 | X |
Transposition :
| - | 297 520 | X | − | 7 | X | = | 16802 | − | 4933467 130 |
Combine the items on the left of the equation:
| - | 3937 520 | X | = | 16802 | − | 4933467 130 |
Combine the items on the right of the equation:
| - | 3937 520 | X | = | - | 2749207 130 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2749207 130 | = | 3937 520 | 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 :
3937 520 | X | = | 2749207 130 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 2749207 130 | ÷ | 3937 520 |
| = | 2749207 130 | × | 520 3937 |
| = | 2749207 | × | 4 3937 |
We obtained :
| X | = | 10996828 3937 |
Convert the result to decimal form :
| X | = | 2793.199898 |