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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 [(82858.09+A+843+8000)-50000-5923.8-843]*3% = 1036.09+A .
Question type: Equation
Solution:Original question:
| ( | ( | 8285809 100 | + | A | + | 843 | + | 8000 | ) | − | 50000 | − | 29619 5 | − | 843 | ) | × | 3 100 | = | 103609 100 | + | A |
| Left side of the equation = | ( | 8285809 100 | + | A | + | 843 | + | 8000 | ) | × | 3 100 | − | 50000 | × | 3 100 | − | 29619 5 | × | 3 100 | − | 843 | × | 3 100 |
| = | ( | 8285809 100 | + | A | + | 843 | + | 8000 | ) | × | 3 100 | − | 1500 | − | 88857 500 | − | 2529 100 |
| = | ( | 8285809 100 | + | A | + | 843 | + | 8000 | ) | × | 3 100 | − | 425751 250 |
| = | 8285809 100 | × | 3 100 | + | A | × | 3 100 | + | 843 | × | 3 100 | + | 8000 | × | 3 100 | − | 425751 250 |
| = | 24857427 10000 | + | A | × | 3 100 | + | 2529 100 | + | 240 | − | 425751 250 |
| = | 10480287 10000 | + | 3 100 | A |
10480287 10000 | + | 3 100 | A | = | 103609 100 | + | A |
Transposition :
3 100 | A | − | A | = | 103609 100 | − | 10480287 10000 |
Combine the items on the left of the equation:
| - | 97 100 | A | = | 103609 100 | − | 10480287 10000 |
Combine the items on the right of the equation:
| - | 97 100 | A | = | - | 119387 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
119387 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 | = | 119387 10000 |
The coefficient of the unknown number is reduced to 1 :
| A | = | 119387 10000 | ÷ | 97 100 |
| = | 119387 10000 | × | 100 97 |
| = | 119387 100 | × | 1 97 |
We obtained :
| A | = | 119387 9700 |
Convert the result to decimal form :
| A | = | 12.307938 |