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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 （38.584+x）×2.8 = 38.584-x+68.968 .
Question type: Equation
Solution:Original question:
| ( | 4823 125 | + | x | ) | × | 14 5 | = | 4823 125 | − | x | + | 8621 125 |
| Left side of the equation = | 4823 125 | × | 14 5 | + | x | × | 14 5 |
| = | 67522 625 | + | x | × | 14 5 |
67522 625 | + | 14 5 | x | = | 4823 125 | − | x | + | 8621 125 |
| Right side of the equation = | 13444 125 | − | x |
67522 625 | + | 14 5 | x | = | 13444 125 | − | x |
Transposition :
14 5 | x | + | x | = | 13444 125 | − | 67522 625 |
Combine the items on the left of the equation:
19 5 | x | = | 13444 125 | − | 67522 625 |
Combine the items on the right of the equation:
19 5 | x | = | - | 302 625 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 302 625 | ÷ | 19 5 |
| = | - | 302 625 | × | 5 19 |
| = | - | 302 125 | × | 1 19 |
We obtained :
| x | = | - | 302 2375 |
Convert the result to decimal form :
| x | = | - 0.127158 |