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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 0.4556*(5-4x) = 15-x .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
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 0.4556*(5-4x) = 15-x .
Question type: Equation
Solution:Original question:
1139 2500 | ( | 5 | − | 4 | x | ) | = | 15 | − | x |
| Left side of the equation = | 1139 2500 | × | 5 | − | 1139 2500 | × | 4 | x |
| = | 1139 500 | − | 1139 625 | x |
1139 500 | − | 1139 625 | x | = | 15 | − | x |
Transposition :
| - | 1139 625 | x | + | x | = | 15 | − | 1139 500 |
Combine the items on the left of the equation:
| - | 514 625 | x | = | 15 | − | 1139 500 |
Combine the items on the right of the equation:
| - | 514 625 | x | = | 6361 500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 6361 500 | = | 514 625 | 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 :
514 625 | x | = | - | 6361 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 6361 500 | ÷ | 514 625 |
| = | - | 6361 500 | × | 625 514 |
| = | - | 6361 4 | × | 5 514 |
We obtained :
| x | = | - | 31805 2056 |
Convert the result to decimal form :
| x | = | - 15.469358 |