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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 500000*(1-4.06%)-5136.7-(479700/1.09*0.09-x/1.09*0.09)*1.12 = 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:
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.
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 500000*(1-4.06%)-5136.7-(479700/1.09*0.09-x/1.09*0.09)*1.12 = x .
Question type: Equation
Solution:Original question:
| 500000 | ( | 1 | − | 203 5000 | ) | − | 51367 10 | − | ( | 479700 | ÷ | 109 100 | × | 9 100 | − | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | = | x |
| Left side of the equation = | 500000 | × | 1 | − | 500000 | × | 203 5000 | − | 51367 10 | − | ( | 479700 | ÷ | 109 100 | × | 9 100 | − | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 |
| = | 500000 | − | 20300 | − | 51367 10 | − | ( | 479700 | ÷ | 109 100 | × | 9 100 | − | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 |
| = | 4745633 10 | − | ( | 479700 | ÷ | 109 100 | × | 9 100 | − | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 |
| = | 4745633 10 | − | 479700 | ÷ | 109 100 | × | 9 100 | × | 28 25 | + | x | ÷ | 109 100 | × | 9 100 | × | 28 25 |
| = | 4745633 10 | − | 4835376 109 | + | x | × | 252 2725 |
| = | 468920237 1090 | + | 252 2725 | x |
468920237 1090 | + | 252 2725 | x | = | x |
Transposition :
252 2725 | x | − | x | = | - | 468920237 1090 |
Combine the items on the left of the equation:
| - | 2473 2725 | x | = | - | 468920237 1090 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
468920237 1090 | = | 2473 2725 | 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 :
2473 2725 | x | = | 468920237 1090 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 468920237 1090 | ÷ | 2473 2725 |
| = | 468920237 1090 | × | 2725 2473 |
| = | 468920237 218 | × | 545 2473 |
We obtained :
| x | = | 255561529165 539114 |