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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 346-346/1.09*0.05-（346/1.09*0.09-X/1.09*0.09）-346*0.03 = X .
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 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.
By reducing fraction, we can get:
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 346-346/1.09*0.05-（346/1.09*0.09-X/1.09*0.09）-346*0.03 = X .
Question type: Equation
Solution:Original question:
| 346 | − | 346 | ÷ | 109 100 | × | 1 20 | − | ( | 346 | ÷ | 109 100 | × | 9 100 | − | X | ÷ | 109 100 | × | 9 100 | ) | − | 346 | × | 3 100 | = | X |
| Left side of the equation = | 346 | − | 1730 109 | − | ( | 346 | ÷ | 109 100 | × | 9 100 | − | X | ÷ | 109 100 | × | 9 100 | ) | − | 519 50 |
| = | 1742629 5450 | − | ( | 346 | ÷ | 109 100 | × | 9 100 | − | X | ÷ | 109 100 | × | 9 100 | ) |
1742629 5450 | − | ( | 346 | ÷ | 109 100 | × | 9 100 | − | X | ÷ | 109 100 | × | 9 100 | ) | = | X |
| Left side of the equation = | 1742629 5450 | − | 346 | ÷ | 109 100 | × | 9 100 | + | X | ÷ | 109 100 | × | 9 100 |
| = | 1742629 5450 | − | 3114 109 | + | X | × | 9 109 |
| = | 1586929 5450 | + | 9 109 | X |
1586929 5450 | + | 9 109 | X | = | X |
Transposition :
9 109 | X | − | X | = | - | 1586929 5450 |
Combine the items on the left of the equation:
| - | 100 109 | X | = | - | 1586929 5450 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1586929 5450 | = | 100 109 | 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 :
100 109 | X | = | 1586929 5450 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 1586929 5450 | ÷ | 100 109 |
| = | 1586929 5450 | × | 109 100 |
We obtained :
| X | = | 172975261 545000 |
By reducing fraction, we can get:
| X | = | 1586929 5000 |
Convert the result to decimal form :
| X | = | 317.3858 |