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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 [(32046.23+a+843+8000)-25000-4215]*3% = 260.22+a .
Question type: Equation
Solution:Original question:
| ( | ( | 3204623 100 | + | a | + | 843 | + | 8000 | ) | − | 25000 | − | 4215 | ) | × | 3 100 | = | 13011 50 | + | a |
| Left side of the equation = | ( | 3204623 100 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 25000 | × | 3 100 | − | 4215 | × | 3 100 |
| = | ( | 3204623 100 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 750 | − | 2529 20 |
| = | ( | 3204623 100 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 17529 20 |
| = | 3204623 100 | × | 3 100 | + | a | × | 3 100 | + | 843 | × | 3 100 | + | 8000 | × | 3 100 | − | 17529 20 |
| = | 9613869 10000 | + | a | × | 3 100 | + | 2529 100 | + | 240 | − | 17529 20 |
| = | 3502269 10000 | + | 3 100 | a |
3502269 10000 | + | 3 100 | a | = | 13011 50 | + | a |
Transposition :
3 100 | a | − | a | = | 13011 50 | − | 3502269 10000 |
Combine the items on the left of the equation:
| - | 97 100 | a | = | 13011 50 | − | 3502269 10000 |
Combine the items on the right of the equation:
| - | 97 100 | a | = | - | 900069 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
900069 10000 | = | 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 | = | 900069 10000 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 900069 10000 | ÷ | 97 100 |
| = | 900069 10000 | × | 100 97 |
| = | 900069 100 | × | 1 97 |
We obtained :
| a | = | 900069 9700 |
Convert the result to decimal form :
| a | = | 92.790619 |