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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 35.32*(x+4.2) = 48.11x+136.362 .
Question type: Equation
Solution:Original question:
883 25 | ( | x | + | 21 5 | ) | = | 4811 100 | x | + | 68181 500 |
| Left side of the equation = | 883 25 | x | + | 883 25 | × | 21 5 |
| = | 883 25 | x | + | 18543 125 |
883 25 | x | + | 18543 125 | = | 4811 100 | x | + | 68181 500 |
Transposition :
883 25 | x | − | 4811 100 | x | = | 68181 500 | − | 18543 125 |
Combine the items on the left of the equation:
| - | 1279 100 | x | = | 68181 500 | − | 18543 125 |
Combine the items on the right of the equation:
| - | 1279 100 | x | = | - | 5991 500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
5991 500 | = | 1279 100 | 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 :
1279 100 | x | = | 5991 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5991 500 | ÷ | 1279 100 |
| = | 5991 500 | × | 100 1279 |
| = | 5991 5 | × | 1 1279 |
We obtained :
| x | = | 5991 6395 |
Convert the result to decimal form :
| x | = | 0.936826 |