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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 [(40309.28+a+10000)-25000]*3% = 454.64+a .
Question type: Equation
Solution:Original question:
| ( | ( | 1007732 25 | + | a | + | 10000 | ) | − | 25000 | ) | × | 3 100 | = | 11366 25 | + | a |
| Left side of the equation = | ( | 1007732 25 | + | a | + | 10000 | ) | × | 3 100 | − | 25000 | × | 3 100 |
| = | ( | 1007732 25 | + | a | + | 10000 | ) | × | 3 100 | − | 750 |
| = | 1007732 25 | × | 3 100 | + | a | × | 3 100 | + | 10000 | × | 3 100 | − | 750 |
| = | 755799 625 | + | a | × | 3 100 | + | 300 | − | 750 |
| = | 474549 625 | + | 3 100 | a |
474549 625 | + | 3 100 | a | = | 11366 25 | + | a |
Transposition :
3 100 | a | − | a | = | 11366 25 | − | 474549 625 |
Combine the items on the left of the equation:
| - | 97 100 | a | = | 11366 25 | − | 474549 625 |
Combine the items on the right of the equation:
| - | 97 100 | a | = | - | 190399 625 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
190399 625 | = | 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 | = | 190399 625 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 190399 625 | ÷ | 97 100 |
| = | 190399 625 | × | 100 97 |
| = | 190399 25 | × | 4 97 |
We obtained :
| a | = | 761596 2425 |
Convert the result to decimal form :
| a | = | 314.060206 |