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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 [(14192.78+a+843+8000)-15000-1686-843]*3% = 92.78+a .
Question type: Equation
Solution:Original question:
| ( | ( | 709639 50 | + | a | + | 843 | + | 8000 | ) | − | 15000 | − | 1686 | − | 843 | ) | × | 3 100 | = | 4639 50 | + | a |
| Left side of the equation = | ( | 709639 50 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 15000 | × | 3 100 | − | 1686 | × | 3 100 | − | 843 | × | 3 100 |
| = | ( | 709639 50 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 450 | − | 2529 50 | − | 2529 100 |
| = | ( | 709639 50 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 52587 100 |
| = | 709639 50 | × | 3 100 | + | a | × | 3 100 | + | 843 | × | 3 100 | + | 8000 | × | 3 100 | − | 52587 100 |
| = | 2128917 5000 | + | a | × | 3 100 | + | 2529 100 | + | 240 | − | 52587 100 |
| = | 826017 5000 | + | 3 100 | a |
826017 5000 | + | 3 100 | a | = | 4639 50 | + | a |
Transposition :
3 100 | a | − | a | = | 4639 50 | − | 826017 5000 |
Combine the items on the left of the equation:
| - | 97 100 | a | = | 4639 50 | − | 826017 5000 |
Combine the items on the right of the equation:
| - | 97 100 | a | = | - | 362117 5000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
362117 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 | = | 362117 5000 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 362117 5000 | ÷ | 97 100 |
| = | 362117 5000 | × | 100 97 |
| = | 362117 50 | × | 1 97 |
We obtained :
| a | = | 362117 4850 |
Convert the result to decimal form :
| a | = | 74.663299 |