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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）×2.95 = 55.552+76.628-x .
Question type: Equation
Solution:Original question:
| ( | 3472 125 | + | x | ) | × | 59 20 | = | 6944 125 | + | 19157 250 | − | x |
| Left side of the equation = | 3472 125 | × | 59 20 | + | x | × | 59 20 |
| = | 51212 625 | + | x | × | 59 20 |
51212 625 | + | 59 20 | x | = | 6944 125 | + | 19157 250 | − | x |
| Right side of the equation = | 6609 50 | − | x |
51212 625 | + | 59 20 | x | = | 6609 50 | − | x |
Transposition :
59 20 | x | + | x | = | 6609 50 | − | 51212 625 |
Combine the items on the left of the equation:
79 20 | x | = | 6609 50 | − | 51212 625 |
Combine the items on the right of the equation:
79 20 | x | = | 62801 1250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 62801 1250 | ÷ | 79 20 |
| = | 62801 1250 | × | 20 79 |
| = | 62801 125 | × | 2 79 |
We obtained :
| x | = | 125602 9875 |
Convert the result to decimal form :
| x | = | 12.71919 |