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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 x+668/2010 = x+1340/2013-670+x/2016 .
Question type: Equation
Solution:Original question:
| x | + | 668 | ÷ | 2010 | = | x | + | 1340 | ÷ | 2013 | − | 670 | + | x | ÷ | 2016 |
| Left side of the equation = | x | + | 334 1005 |
| x | + | 334 1005 | = | x | + | 1340 | ÷ | 2013 | − | 670 | + | x | ÷ | 2016 |
| Right side of the equation = | x | + | 1340 2013 | − | 670 | + | x | × | 1 2016 |
| = | 2017 2016 | x | − | 1347370 2013 |
| x | + | 334 1005 | = | 2017 2016 | x | − | 1347370 2013 |
Transposition :
| x | − | 2017 2016 | x | = | - | 1347370 2013 | − | 334 1005 |
Combine the items on the left of the equation:
| - | 1 2016 | x | = | - | 1347370 2013 | − | 334 1005 |
Combine the items on the right of the equation:
| - | 1 2016 | x | = | - | 451593064 674355 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
451593064 674355 | = | 1 2016 | 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 :
1 2016 | x | = | 451593064 674355 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 451593064 674355 | ÷ | 1 2016 |
| = | 451593064 674355 | × | 2016 |
| = | 451593064 224785 | × | 672 |
We obtained :
| x | = | 303470539008 224785 |