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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 100-51.1x+7.665 = 50.476x+67 .
Question type: Equation
Solution:Original question:
| 100 | − | 511 10 | x | + | 1533 200 | = | 12619 250 | x | + | 67 |
| Left side of the equation = | 21533 200 | − | 511 10 | x |
21533 200 | − | 511 10 | x | = | 12619 250 | x | + | 67 |
Transposition :
| - | 511 10 | x | − | 12619 250 | x | = | 67 | − | 21533 200 |
Combine the items on the left of the equation:
| - | 12697 125 | x | = | 67 | − | 21533 200 |
Combine the items on the right of the equation:
| - | 12697 125 | x | = | - | 8133 200 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
8133 200 | = | 12697 125 | 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 :
12697 125 | x | = | 8133 200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 8133 200 | ÷ | 12697 125 |
| = | 8133 200 | × | 125 12697 |
| = | 8133 8 | × | 5 12697 |
We obtained :
| x | = | 40665 101576 |
Convert the result to decimal form :
| x | = | 0.400341 |