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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 2000 = 16.25*Q*（1-2.654%）-6500-3.75*Q .
Question type: Equation
Solution:Original question:
| 2000 | = | 65 4 | Q | ( | 1 | − | 1327 50000 | ) | − | 6500 | − | 15 4 | Q |
| Right side of the equation = | 65 4 | Q | × | 1 | − | 65 4 | Q | × | 1327 50000 | − | 6500 | − | 15 4 | Q |
| = | 65 4 | Q | − | 17251 40000 | Q | − | 6500 | − | 15 4 | Q |
| = | 482749 40000 | Q | − | 6500 |
| 2000 | = | 482749 40000 | Q | − | 6500 |
Transposition :
| - | 482749 40000 | Q | = | - | 6500 | − | 2000 |
Combine the items on the right of the equation:
| - | 482749 40000 | Q | = | - | 8500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 8500 | = | 482749 40000 | Q |
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 :
482749 40000 | Q | = | 8500 |
The coefficient of the unknown number is reduced to 1 :
| Q | = | 8500 | ÷ | 482749 40000 |
| = | 8500 | × | 40000 482749 |
| = | 500 | × | 40000 28397 |
We obtained :
| Q | = | 20000000 28397 |
Convert the result to decimal form :
| Q | = | 704.29975 |