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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 11800000+x/1.09*0.09*1.12+x/1.09*0.25+x/1.09*0.03/100 = x .
Question type: Equation
Solution:Original question:
| 11800000 | + | x | ÷ | 109 100 | × | 9 100 | × | 28 25 | + | x | ÷ | 109 100 | × | 1 4 | + | x | ÷ | 109 100 | × | 3 100 | ÷ | 100 | = | x |
| Left side of the equation = | 11800000 | + | x | × | 252 2725 | + | x | × | 25 109 | + | x | × | 3 10900 |
| = | 11800000 | + | 3511 10900 | x |
| 11800000 | + | 3511 10900 | x | = | x |
Transposition :
3511 10900 | x | − | x | = | - | 11800000 |
Combine the items on the left of the equation:
| - | 7389 10900 | x | = | - | 11800000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 11800000 | = | 7389 10900 | 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 :
7389 10900 | x | = | 11800000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 11800000 | ÷ | 7389 10900 |
| = | 11800000 | × | 10900 7389 |
We obtained :
| x | = | 128620000000 7389 |