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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 （100-69+x/4）*3.1699-x = 0 .
Question type: Equation
Solution:Original question:
| ( | 100 | − | 69 | + | x | ÷ | 4 | ) | × | 31699 10000 | − | x | = | 0 |
| Left side of the equation = | 100 | × | 31699 10000 | − | 69 | × | 31699 10000 | + | x | ÷ | 4 | × | 31699 10000 | − | x |
| = | 31699 100 | − | 2187231 10000 | + | x | × | 31699 40000 | − | x |
| = | 982669 10000 | − | 8301 40000 | x |
982669 10000 | − | 8301 40000 | x | = | 0 |
Transposition :
| - | 8301 40000 | x | = | 0 | − | 982669 10000 |
Combine the items on the right of the equation:
| - | 8301 40000 | x | = | - | 982669 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
982669 10000 | = | 8301 40000 | 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 :
8301 40000 | x | = | 982669 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 982669 10000 | ÷ | 8301 40000 |
| = | 982669 10000 | × | 40000 8301 |
| = | 982669 | × | 4 8301 |
We obtained :
| x | = | 3930676 8301 |
Convert the result to decimal form :
| x | = | 473.518371 |