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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 912746*0.43-x = 0.42*(912746-x) .
Question type: Equation
Solution:Original question:
| 912746 | × | 43 100 | − | x | = | 21 50 | ( | 912746 | − | x | ) |
| Left side of the equation = | 19624039 50 | − | x |
19624039 50 | − | x | = | 21 50 | ( | 912746 | − | x | ) |
| Right side of the equation = | 21 50 | × | 912746 | − | 21 50 | x |
| = | 9583833 25 | − | 21 50 | x |
19624039 50 | − | x | = | 9583833 25 | − | 21 50 | x |
Transposition :
| - | x | + | 21 50 | x | = | 9583833 25 | − | 19624039 50 |
Combine the items on the left of the equation:
| - | 29 50 | x | = | 9583833 25 | − | 19624039 50 |
Combine the items on the right of the equation:
| - | 29 50 | x | = | - | 456373 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
456373 50 | = | 29 50 | 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 :
29 50 | x | = | 456373 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 456373 50 | ÷ | 29 50 |
| = | 456373 50 | × | 50 29 |
| = | 15737 | × | 1 |
We obtained :
| x | = | 15737 |