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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 [(12762.92+a+843+8000)-15000-1686-843]*3% = 32.31+a .
Question type: Equation
Solution:Original question:
| ( | ( | 319073 25 | + | a | + | 843 | + | 8000 | ) | − | 15000 | − | 1686 | − | 843 | ) | × | 3 100 | = | 3231 100 | + | a |
| Left side of the equation = | ( | 319073 25 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 15000 | × | 3 100 | − | 1686 | × | 3 100 | − | 843 | × | 3 100 |
| = | ( | 319073 25 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 450 | − | 2529 50 | − | 2529 100 |
| = | ( | 319073 25 | + | a | + | 843 | + | 8000 | ) | × | 3 100 | − | 52587 100 |
| = | 319073 25 | × | 3 100 | + | a | × | 3 100 | + | 843 | × | 3 100 | + | 8000 | × | 3 100 | − | 52587 100 |
| = | 957219 2500 | + | a | × | 3 100 | + | 2529 100 | + | 240 | − | 52587 100 |
| = | 305769 2500 | + | 3 100 | a |
305769 2500 | + | 3 100 | a | = | 3231 100 | + | a |
Transposition :
3 100 | a | − | a | = | 3231 100 | − | 305769 2500 |
Combine the items on the left of the equation:
| - | 97 100 | a | = | 3231 100 | − | 305769 2500 |
Combine the items on the right of the equation:
| - | 97 100 | a | = | - | 112497 1250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
112497 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 | = | 112497 1250 |
The coefficient of the unknown number is reduced to 1 :
| a | = | 112497 1250 | ÷ | 97 100 |
| = | 112497 1250 | × | 100 97 |
| = | 112497 25 | × | 2 97 |
We obtained :
| a | = | 224994 2425 |
Convert the result to decimal form :
| a | = | 92.781031 |