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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 （363580.56+1.12X）/1.13*0.13 = X+40814.44 .
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:
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.
By reducing fraction, we can get:
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （363580.56+1.12X）/1.13*0.13 = X+40814.44 .
Question type: Equation
Solution:Original question:
| ( | 9089514 25 | + | 28 25 | X | ) | ÷ | 113 100 | × | 13 100 | = | X | + | 1020361 25 |
| Left side of the equation = | ( | 9089514 25 | + | 28 25 | X | ) | × | 13 113 |
| ( | 9089514 25 | + | 28 25 | X | ) | × | 13 113 | = | X | + | 1020361 25 |
| Left side of the equation = | 9089514 25 | × | 13 113 | + | 28 25 | X | × | 13 113 |
| = | 118163682 2825 | + | 364 2825 | X |
118163682 2825 | + | 364 2825 | X | = | X | + | 1020361 25 |
Transposition :
364 2825 | X | − | X | = | 1020361 25 | − | 118163682 2825 |
Combine the items on the left of the equation:
| - | 2461 2825 | X | = | 1020361 25 | − | 118163682 2825 |
Combine the items on the right of the equation:
| - | 2461 2825 | X | = | - | 2862889 2825 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2862889 2825 | = | 2461 2825 | 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 :
2461 2825 | X | = | 2862889 2825 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 2862889 2825 | ÷ | 2461 2825 |
| = | 2862889 2825 | × | 2825 2461 |
| = | 2862889 113 | × | 113 2461 |
We obtained :
| X | = | 323506457 278093 |
By reducing fraction, we can get:
| X | = | 2862889 2461 |
Convert the result to decimal form :
| X | = | 1163.303129 |