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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 （27.776+x）×2.35 = 55.552+77.128-x .
Question type: Equation
Solution:Original question:
| ( | 3472 125 | + | x | ) | × | 47 20 | = | 6944 125 | + | 9641 125 | − | x |
| Left side of the equation = | 3472 125 | × | 47 20 | + | x | × | 47 20 |
| = | 40796 625 | + | x | × | 47 20 |
40796 625 | + | 47 20 | x | = | 6944 125 | + | 9641 125 | − | x |
| Right side of the equation = | 3317 25 | − | x |
40796 625 | + | 47 20 | x | = | 3317 25 | − | x |
Transposition :
47 20 | x | + | x | = | 3317 25 | − | 40796 625 |
Combine the items on the left of the equation:
67 20 | x | = | 3317 25 | − | 40796 625 |
Combine the items on the right of the equation:
67 20 | x | = | 42129 625 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 42129 625 | ÷ | 67 20 |
| = | 42129 625 | × | 20 67 |
| = | 42129 125 | × | 4 67 |
We obtained :
| x | = | 168516 8375 |
Convert the result to decimal form :
| x | = | 20.121313 |