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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 148.14 = 60×X/(158.35+60-X) .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
The equation is reduced to :
The equation is reduced to :
Transposition :
Combine the items on the left 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 148.14 = 60×X/(158.35+60-X) .
Question type: Equation
Solution:Original question:
7407 50 | = | 60 | X | ÷ | ( | 3167 20 | + | 60 | − | X | ) |
| Multiply both sides of the equation by: | ( | 3167 20 | + | 60 | − | X | ) |
7407 50 | ( | 3167 20 | + | 60 | − | X | ) | = | 60 | X |
7407 50 | × | 3167 20 | + | 7407 50 | × | 60 | − | 7407 50 | X | = | 60 | X |
23457969 1000 | + | 44442 5 | − | 7407 50 | X | = | 60 | X |
32346369 1000 | − | 7407 50 | X | = | 60 | X |
Transposition :
| - | 7407 50 | X | − | 60 | X | = | - | 32346369 1000 |
Combine the items on the left of the equation:
| - | 10407 50 | X | = | - | 32346369 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
32346369 1000 | = | 10407 50 | 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 :
10407 50 | X | = | 32346369 1000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 32346369 1000 | ÷ | 10407 50 |
| = | 32346369 1000 | × | 50 10407 |
| = | 10782123 20 | × | 1 3469 |
We obtained :
| X | = | 10782123 69380 |
Convert the result to decimal form :
| X | = | 155.406789 |