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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）×2.55 = 55.552+77.128-x .
Question type: Equation
Solution:Original question:
| ( | 3472 125 | + | x | ) | × | 51 20 | = | 6944 125 | + | 9641 125 | − | x |
| Left side of the equation = | 3472 125 | × | 51 20 | + | x | × | 51 20 |
| = | 44268 625 | + | x | × | 51 20 |
44268 625 | + | 51 20 | x | = | 6944 125 | + | 9641 125 | − | x |
| Right side of the equation = | 3317 25 | − | x |
44268 625 | + | 51 20 | x | = | 3317 25 | − | x |
Transposition :
51 20 | x | + | x | = | 3317 25 | − | 44268 625 |
Combine the items on the left of the equation:
71 20 | x | = | 3317 25 | − | 44268 625 |
Combine the items on the right of the equation:
71 20 | x | = | 38657 625 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 38657 625 | ÷ | 71 20 |
| = | 38657 625 | × | 20 71 |
| = | 38657 125 | × | 4 71 |
We obtained :
| x | = | 154628 8875 |
Convert the result to decimal form :
| x | = | 17.422873 |