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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 [(64838.46+a+843+8000)-35000-3394.8-843]*3% = 943.31+a .
Question type: Equation
Solution:Original question:
| ( | ( | 3241923 50 | + | a | + | 843 | + | 8000 | ) | − | 35000 | − | 16974 5 | − | 843 | ) | × | 3 100 | = | 94331 100 | + | a |
| Left side of the equation = | ( | 3241923 50 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 35000 | × | 3 100 | − | 16974 5 | × | 3 100 | − | 843 | × | 3 100 |
| = | ( | 3241923 50 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 1050 | − | 25461 250 | − | 2529 100 |
| = | ( | 3241923 50 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 588567 500 |
| = | 3241923 50 | × | 3 100 | + | a | × | 3 100 | + | 843 | × | 3 100 | + | 8000 | × | 3 100 | − | 588567 500 |
| = | 9725769 5000 | + | a | × | 3 100 | + | 2529 100 | + | 240 | − | 588567 500 |
| = | 5166549 5000 | + | 3 100 | a |
5166549 5000 | + | 3 100 | a | = | 94331 100 | + | a |
Transposition :
3 100 | a | − | a | = | 94331 100 | − | 5166549 5000 |
Combine the items on the left of the equation:
| - | 97 100 | a | = | 94331 100 | − | 5166549 5000 |
Combine the items on the right of the equation:
| - | 97 100 | a | = | - | 449999 5000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
449999 5000 | = | 97 100 | a |
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 :
97 100 | a | = | 449999 5000 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 449999 5000 | ÷ | 97 100 |
| = | 449999 5000 | × | 100 97 |
| = | 449999 50 | × | 1 97 |
We obtained :
| a | = | 449999 4850 |
Convert the result to decimal form :
| a | = | 92.783299 |