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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 3598.06-79.68x = （315.92+40.92x）/8+x .
Question type: Equation
Solution:Original question:
179903 50 | − | 1992 25 | x | = | ( | 7898 25 | + | 1023 25 | x | ) | ÷ | 8 | + | x |
| Right side of the equation = | 7898 25 | × | 1 8 | + | 1023 25 | x | × | 1 8 | + | x |
| = | 3949 100 | + | 1023 200 | x | + | x |
| = | 3949 100 | + | 1223 200 | x |
179903 50 | − | 1992 25 | x | = | 3949 100 | + | 1223 200 | x |
Transposition :
| - | 1992 25 | x | − | 1223 200 | x | = | 3949 100 | − | 179903 50 |
Combine the items on the left of the equation:
| - | 17159 200 | x | = | 3949 100 | − | 179903 50 |
Combine the items on the right of the equation:
| - | 17159 200 | x | = | - | 355857 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
355857 100 | = | 17159 200 | 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 :
17159 200 | x | = | 355857 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 355857 100 | ÷ | 17159 200 |
| = | 355857 100 | × | 200 17159 |
| = | 355857 | × | 2 17159 |
We obtained :
| x | = | 711714 17159 |
Convert the result to decimal form :
| x | = | 41.477592 |