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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 （23123030.22-x/1.09*0.09）*0.7 = x .
Question type: Equation
Solution:Original question:
| ( | 1156151511 50 | − | x | ÷ | 109 100 | × | 9 100 | ) | × | 7 10 | = | x |
| Left side of the equation = | 1156151511 50 | × | 7 10 | − | x | ÷ | 109 100 | × | 9 100 | × | 7 10 |
| = | 8093060577 500 | − | x | × | 63 1090 |
8093060577 500 | − | 63 1090 | x | = | x |
Transposition :
| - | 63 1090 | x | − | x | = | - | 8093060577 500 |
Combine the items on the left of the equation:
| - | 1153 1090 | x | = | - | 8093060577 500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
8093060577 500 | = | 1153 1090 | 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 :
1153 1090 | x | = | 8093060577 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 8093060577 500 | ÷ | 1153 1090 |
| = | 8093060577 500 | × | 1090 1153 |
| = | 8093060577 50 | × | 109 1153 |
We obtained :
| x | = | 882143602893 57650 |