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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 [(40982.02+a+843+8000)-30000-5058]*3% = 353.01+a .
Question type: Equation
Solution:Original question:
| ( | ( | 2049101 50 | + | a | + | 843 | + | 8000 | ) | − | 30000 | − | 5058 | ) | × | 3 100 | = | 35301 100 | + | a |
| Left side of the equation = | ( | 2049101 50 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 30000 | × | 3 100 | − | 5058 | × | 3 100 |
| = | ( | 2049101 50 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 900 | − | 7587 50 |
| = | ( | 2049101 50 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 52587 50 |
| = | 2049101 50 | × | 3 100 | + | a | × | 3 100 | + | 843 | × | 3 100 | + | 8000 | × | 3 100 | − | 52587 50 |
| = | 6147303 5000 | + | a | × | 3 100 | + | 2529 100 | + | 240 | − | 52587 50 |
| = | 2215053 5000 | + | 3 100 | a |
2215053 5000 | + | 3 100 | a | = | 35301 100 | + | a |
Transposition :
3 100 | a | − | a | = | 35301 100 | − | 2215053 5000 |
Combine the items on the left of the equation:
| - | 97 100 | a | = | 35301 100 | − | 2215053 5000 |
Combine the items on the right of the equation:
| - | 97 100 | a | = | - | 450003 5000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
450003 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 | = | 450003 5000 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 450003 5000 | ÷ | 97 100 |
| = | 450003 5000 | × | 100 97 |
| = | 450003 50 | × | 1 97 |
We obtained :
| a | = | 450003 4850 |
Convert the result to decimal form :
| a | = | 92.784124 |