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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）×2.5 = 38.584+68.718-x .
Question type: Equation
Solution:Original question:
| ( | 4823 125 | + | x | ) | × | 5 2 | = | 4823 125 | + | 34359 500 | − | x |
| Left side of the equation = | 4823 125 | × | 5 2 | + | x | × | 5 2 |
| = | 4823 50 | + | x | × | 5 2 |
4823 50 | + | 5 2 | x | = | 4823 125 | + | 34359 500 | − | x |
| Right side of the equation = | 53651 500 | − | x |
4823 50 | + | 5 2 | x | = | 53651 500 | − | x |
Transposition :
5 2 | x | + | x | = | 53651 500 | − | 4823 50 |
Combine the items on the left of the equation:
7 2 | x | = | 53651 500 | − | 4823 50 |
Combine the items on the right of the equation:
7 2 | x | = | 5421 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5421 500 | ÷ | 7 2 |
| = | 5421 500 | × | 2 7 |
| = | 5421 250 | × | 1 7 |
We obtained :
| x | = | 5421 1750 |
Convert the result to decimal form :
| x | = | 3.097714 |