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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 4.35%X+（X/1.1*0.1）+（13%X-71287.8）+（13%X-71287.8）*0.1+（X-548362.2）*25% = X-548362.2 .
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 4.35%X+（X/1.1*0.1）+（13%X-71287.8）+（13%X-71287.8）*0.1+（X-548362.2）*25% = X-548362.2 .
Question type: Equation
Solution:Original question:
87 2000 | X | + | ( | X | ÷ | 11 10 | × | 1 10 | ) | + | ( | 13 100 | X | − | 356439 5 | ) | + | ( | 13 100 | X | − | 356439 5 | ) | × | 1 10 | + | ( | X | − | 2741811 5 | ) | × | 25 100 | = | X | − | 2741811 5 |
| Left side of the equation = | 87 2000 | X | + | X | ÷ | 11 10 | × | 1 10 | + | ( | 13 100 | X | − | 356439 5 | ) | + | ( | 13 100 | X | − | 356439 5 | ) | × | 1 10 | + | ( | X | − | 2741811 5 | ) | × | 25 100 |
| = | 87 2000 | X | + | X | × | 1 11 | + | ( | 13 100 | X | − | 356439 5 | ) | + | ( | 13 100 | X | − | 356439 5 | ) | × | 1 10 | + | ( | X | − | 2741811 5 | ) | × | 25 100 |
| = | 2957 22000 | X | + | ( | 13 100 | X | − | 356439 5 | ) | + | ( | 13 100 | X | − | 356439 5 | ) | × | 1 10 | + | ( | X | − | 2741811 5 | ) | × | 25 100 |
| = | 2957 22000 | X | + | 13 100 | X | − | 356439 5 | + | ( | 13 100 | X | − | 356439 5 | ) | × | 1 10 | + | ( | X | − | 2741811 5 | ) | × | 25 100 |
| = | 5817 22000 | X | − | 356439 5 | + | ( | 13 100 | X | − | 356439 5 | ) | × | 1 10 | + | ( | X | − | 2741811 5 | ) | × | 25 100 |
| = | 5817 22000 | X | − | 356439 5 | + | 13 100 | X | × | 1 10 | − | 356439 5 | × | 1 10 | + | ( | X | − | 2741811 5 | ) | × | 25 100 |
| = | 5817 22000 | X | − | 356439 5 | + | 13 1000 | X | − | 356439 50 | + | ( | X | − | 2741811 5 | ) | × | 25 100 |
| = | 6103 22000 | X | − | 3920829 50 | + | ( | X | − | 2741811 5 | ) | × | 25 100 |
| = | 6103 22000 | X | − | 3920829 50 | + | X | × | 25 100 | − | 2741811 5 | × | 25 100 |
| = | 6103 22000 | X | − | 3920829 50 | + | X | × | 25 100 | − | 2741811 20 |
| = | 11603 22000 | X | − | 21550713 100 |
11603 22000 | X | − | 21550713 100 | = | X | − | 2741811 5 |
Transposition :
11603 22000 | X | − | X | = | - | 2741811 5 | + | 21550713 100 |
Combine the items on the left of the equation:
| - | 10397 22000 | X | = | - | 2741811 5 | + | 21550713 100 |
Combine the items on the right of the equation:
| - | 10397 22000 | X | = | - | 33285507 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
33285507 100 | = | 10397 22000 | 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 :
10397 22000 | X | = | 33285507 100 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 33285507 100 | ÷ | 10397 22000 |
| = | 33285507 100 | × | 22000 10397 |
| = | 33285507 | × | 220 10397 |
We obtained :
| X | = | 7322811540 10397 |
Convert the result to decimal form :
| X | = | 704319.663364 |