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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）×2.15 = 55.552+76.628-x .
Question type: Equation
Solution:Original question:
| ( | 3472 125 | + | x | ) | × | 43 20 | = | 6944 125 | + | 19157 250 | − | x |
| Left side of the equation = | 3472 125 | × | 43 20 | + | x | × | 43 20 |
| = | 37324 625 | + | x | × | 43 20 |
37324 625 | + | 43 20 | x | = | 6944 125 | + | 19157 250 | − | x |
| Right side of the equation = | 6609 50 | − | x |
37324 625 | + | 43 20 | x | = | 6609 50 | − | x |
Transposition :
43 20 | x | + | x | = | 6609 50 | − | 37324 625 |
Combine the items on the left of the equation:
63 20 | x | = | 6609 50 | − | 37324 625 |
Combine the items on the right of the equation:
63 20 | x | = | 90577 1250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 90577 1250 | ÷ | 63 20 |
| = | 90577 1250 | × | 20 63 |
| = | 90577 125 | × | 2 63 |
We obtained :
| x | = | 181154 7875 |
Convert the result to decimal form :
| x | = | 23.003683 |