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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 8224+8224*56/1000-x-56x/1000*(1+56/1000) = x .
Question type: Equation
Solution:Original question:
| 8224 | + | 8224 | × | 56 | ÷ | 1000 | − | x | − | 56 | x | ÷ | 1000 | × | ( | 1 | + | 56 | ÷ | 1000 | ) | = | x |
| Left side of the equation = | 8224 | + | 57568 125 | − | x | − | 7 125 | x | ( | 1 | + | 56 | ÷ | 1000 | ) |
| = | 1085568 125 | − | x | − | 7 125 | x | ( | 1 | + | 56 | ÷ | 1000 | ) |
1085568 125 | − | x | − | 7 125 | x | ( | 1 | + | 56 | ÷ | 1000 | ) | = | x |
| Left side of the equation = | 1085568 125 | − | x | − | 7 125 | x | × | 1 | − | 7 125 | x | × | 56 | ÷ | 1000 |
| = | 1085568 125 | − | x | − | 7 125 | x | − | 49 15625 | x |
| = | 1085568 125 | − | 16549 15625 | x |
1085568 125 | − | 16549 15625 | x | = | x |
Transposition :
| - | 16549 15625 | x | − | x | = | - | 1085568 125 |
Combine the items on the left of the equation:
| - | 32174 15625 | x | = | - | 1085568 125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1085568 125 | = | 32174 15625 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
32174 15625 | x | = | 1085568 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1085568 125 | ÷ | 32174 15625 |
| = | 1085568 125 | × | 15625 32174 |
| = | 542784 | × | 125 16087 |
We obtained :
| x | = | 67848000 16087 |
Convert the result to decimal form :
| x | = | 4217.56698 |