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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 108.52*(11.4-x)*8 = 6463.823 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 108.52*(11.4-x)*8 = 6463.823 .
Question type: Equation
Solution:Original question:
2713 25 | ( | 57 5 | − | x | ) | × | 8 | = | 6463823 1000 |
| Left side of the equation = | 21704 25 | ( | 57 5 | − | x | ) |
21704 25 | ( | 57 5 | − | x | ) | = | 6463823 1000 |
| Left side of the equation = | 21704 25 | × | 57 5 | − | 21704 25 | x |
| = | 1237128 125 | − | 21704 25 | x |
1237128 125 | − | 21704 25 | x | = | 6463823 1000 |
Transposition :
| - | 21704 25 | x | = | 6463823 1000 | − | 1237128 125 |
Combine the items on the right of the equation:
| - | 21704 25 | x | = | - | 3433201 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
3433201 1000 | = | 21704 25 | 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 :
21704 25 | x | = | 3433201 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 3433201 1000 | ÷ | 21704 25 |
| = | 3433201 1000 | × | 25 21704 |
| = | 3433201 40 | × | 1 21704 |
We obtained :
| x | = | 3433201 868160 |
Convert the result to decimal form :
| x | = | 3.954572 |