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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 56×7.9+13.16x = （56+x）×7.97 .
Question type: Equation
Solution:Original question:
| 56 | × | 79 10 | + | 329 25 | x | = | ( | 56 | + | x | ) | × | 797 100 |
| Left side of the equation = | 2212 5 | + | 329 25 | x |
2212 5 | + | 329 25 | x | = | ( | 56 | + | x | ) | × | 797 100 |
| Right side of the equation = | 56 | × | 797 100 | + | x | × | 797 100 |
| = | 11158 25 | + | x | × | 797 100 |
2212 5 | + | 329 25 | x | = | 11158 25 | + | 797 100 | x |
Transposition :
329 25 | x | − | 797 100 | x | = | 11158 25 | − | 2212 5 |
Combine the items on the left of the equation:
519 100 | x | = | 11158 25 | − | 2212 5 |
Combine the items on the right of the equation:
519 100 | x | = | 98 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 98 25 | ÷ | 519 100 |
| = | 98 25 | × | 100 519 |
| = | 98 | × | 4 519 |
We obtained :
| x | = | 392 519 |
Convert the result to decimal form :
| x | = | 0.755299 |