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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+76.628-x .
Question type: Equation
Solution:Original question:
| ( | 3472 125 | + | x | ) | × | 51 20 | = | 6944 125 | + | 19157 250 | − | 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 | + | 19157 250 | − | x |
| Right side of the equation = | 6609 50 | − | x |
44268 625 | + | 51 20 | x | = | 6609 50 | − | x |
Transposition :
51 20 | x | + | x | = | 6609 50 | − | 44268 625 |
Combine the items on the left of the equation:
71 20 | x | = | 6609 50 | − | 44268 625 |
Combine the items on the right of the equation:
71 20 | x | = | 76689 1250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 76689 1250 | ÷ | 71 20 |
| = | 76689 1250 | × | 20 71 |
| = | 76689 125 | × | 2 71 |
We obtained :
| x | = | 153378 8875 |
Convert the result to decimal form :
| x | = | 17.282028 |