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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 0.16x+54.4+66.6/39.22 = 12.8x-246/795 .
Question type: Equation
Solution:Original question:
4 25 | x | + | 272 5 | + | 333 5 | ÷ | 1961 50 | = | 64 5 | x | − | 246 | ÷ | 795 |
| Left side of the equation = | 4 25 | x | + | 272 5 | + | 90 53 |
| = | 4 25 | x | + | 14866 265 |
4 25 | x | + | 14866 265 | = | 64 5 | x | − | 246 | ÷ | 795 |
| Right side of the equation = | 64 5 | x | − | 82 265 |
4 25 | x | + | 14866 265 | = | 64 5 | x | − | 82 265 |
Transposition :
4 25 | x | − | 64 5 | x | = | - | 82 265 | − | 14866 265 |
Combine the items on the left of the equation:
| - | 316 25 | x | = | - | 82 265 | − | 14866 265 |
Combine the items on the right of the equation:
| - | 316 25 | x | = | - | 14948 265 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
14948 265 | = | 316 25 | 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 :
316 25 | x | = | 14948 265 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 14948 265 | ÷ | 316 25 |
| = | 14948 265 | × | 25 316 |
| = | 3737 53 | × | 5 79 |
We obtained :
| x | = | 18685 4187 |
Convert the result to decimal form :
| x | = | 4.462622 |