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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 [(30463.92+a+10000)-20000]*3% = 463.92+a .
Question type: Equation
Solution:Original question:
| ( | ( | 761598 25 | + | a | + | 10000 | ) | − | 20000 | ) | × | 3 100 | = | 11598 25 | + | a |
| Left side of the equation = | ( | 761598 25 | + | a | + | 10000 | ) | × | 3 100 | − | 20000 | × | 3 100 |
| = | ( | 761598 25 | + | a | + | 10000 | ) | × | 3 100 | − | 600 |
| = | 761598 25 | × | 3 100 | + | a | × | 3 100 | + | 10000 | × | 3 100 | − | 600 |
| = | 1142397 1250 | + | a | × | 3 100 | + | 300 | − | 600 |
| = | 767397 1250 | + | 3 100 | a |
767397 1250 | + | 3 100 | a | = | 11598 25 | + | a |
Transposition :
3 100 | a | − | a | = | 11598 25 | − | 767397 1250 |
Combine the items on the left of the equation:
| - | 97 100 | a | = | 11598 25 | − | 767397 1250 |
Combine the items on the right of the equation:
| - | 97 100 | a | = | - | 187497 1250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
187497 1250 | = | 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 | = | 187497 1250 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 187497 1250 | ÷ | 97 100 |
| = | 187497 1250 | × | 100 97 |
| = | 187497 25 | × | 2 97 |
We obtained :
| a | = | 374994 2425 |
Convert the result to decimal form :
| a | = | 154.636701 |