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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 5000000*（1-2.06%）-（5000000*（1-2.06%）/1.09*0.09-x/1.09*0.09）*1.12 = x .
Question type: Equation
Solution:Original question:
| 5000000 | ( | 1 | − | 103 5000 | ) | − | ( | 5000000 | ( | 1 | − | 103 5000 | ) | ÷ | 109 100 | × | 9 100 | − | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | = | x |
| Left side of the equation = | 5000000 | × | 1 | − | 5000000 | × | 103 5000 | − | ( | 5000000 | ( | 1 | − | 103 5000 | ) | ÷ | 109 100 | × | 9 100 | − | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 |
| = | 5000000 | − | 103000 | − | ( | 5000000 | ( | 1 | − | 103 5000 | ) | ÷ | 109 100 | × | 9 100 | − | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 |
| = | 4897000 | − | ( | 5000000 | ( | 1 | − | 103 5000 | ) | ÷ | 109 100 | × | 9 100 | − | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 |
| = | 4897000 | − | 5000000 | ( | 1 | − | 103 5000 | ) | ÷ | 109 100 | × | 9 100 | × | 28 25 | + | x | ÷ | 109 100 | × | 9 100 | × | 28 25 |
| = | 4897000 | − | 50400000 109 | ( | 1 | − | 103 5000 | ) | + | x | × | 252 2725 |
| = | 4897000 | − | 50400000 109 | × | 1 | + | 50400000 109 | × | 103 5000 | + | 252 2725 | x |
| = | 4897000 | − | 50400000 109 | + | 1038240 109 | + | 252 2725 | x |
| = | 484411240 109 | + | 252 2725 | x |
484411240 109 | + | 252 2725 | x | = | x |
Transposition :
252 2725 | x | − | x | = | - | 484411240 109 |
Combine the items on the left of the equation:
| - | 2473 2725 | x | = | - | 484411240 109 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
484411240 109 | = | 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 | = | 484411240 109 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 484411240 109 | ÷ | 2473 2725 |
| = | 484411240 109 | × | 2725 2473 |
We obtained :
| x | = | 1320020629000 269557 |