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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 （(2093+289-121-136-X-6140)/6140)*0.5 = ((1845+X)-3716)/3716 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
By reducing fraction, we can get:
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （(2093+289-121-136-X-6140)/6140)*0.5 = ((1845+X)-3716)/3716 .
Question type: Equation
Solution:Original question:
| ( | ( | 2093 | + | 289 | − | 121 | − | 136 | − | X | − | 6140 | ) | ÷ | 6140 | ) | × | 1 2 | = | ( | ( | 1845 | + | X | ) | − | 3716 | ) | ÷ | 3716 |
| Left side of the equation = | ( | 2093 | + | 289 | − | 121 | − | 136 | − | X | − | 6140 | ) | ÷ | 6140 | × | 1 2 |
| = | ( | 2093 | + | 289 | − | 121 | − | 136 | − | X | − | 6140 | ) | × | 1 12280 |
| = | 2093 | × | 1 12280 | + | 289 | × | 1 12280 | − | 121 | × | 1 12280 | − | 136 | × | 1 12280 | − | X | × | 1 12280 | − | 6140 | × | 1 12280 |
| = | 2093 12280 | + | 289 12280 | − | 121 12280 | − | 17 1535 | − | X | × | 1 12280 | − | 1 2 |
| = | - | 803 2456 | − | 1 12280 | X |
| - | 803 2456 | − | 1 12280 | X | = | ( | ( | 1845 | + | X | ) | − | 3716 | ) | ÷ | 3716 |
| Right side of the equation = | ( | 1845 | + | X | ) | × | 1 3716 | − | 3716 | × | 1 3716 |
| = | ( | 1845 | + | X | ) | × | 1 3716 | − | 1 |
| = | 1845 | × | 1 3716 | + | X | × | 1 3716 | − | 1 |
| = | 1845 3716 | + | X | × | 1 3716 | − | 1 |
| = | - | 1871 3716 | + | 1 3716 | X |
| - | 803 2456 | − | 1 12280 | X | = | - | 1871 3716 | + | 1 3716 | X |
Transposition :
| - | 1 12280 | X | − | 1 3716 | X | = | - | 1871 3716 | + | 803 2456 |
Combine the items on the left of the equation:
| - | 3999 11408120 | X | = | - | 1871 3716 | + | 803 2456 |
Combine the items on the right of the equation:
| - | 3999 11408120 | X | = | - | 402807 2281624 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
402807 2281624 | = | 3999 11408120 | X |
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 :
3999 11408120 | X | = | 402807 2281624 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 402807 2281624 | ÷ | 3999 11408120 |
| = | 402807 2281624 | × | 11408120 3999 |
| = | 134269 929 | × | 4645 1333 |
We obtained :
| X | = | 623679505 1238357 |
By reducing fraction, we can get:
| X | = | 671345 1333 |
Convert the result to decimal form :
| X | = | 503.634659 |