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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 （2300+85+X）*6.05% = （360/180）*X .
Question type: Equation
Solution:Original question:
| ( | 2300 | + | 85 | + | X | ) | × | 121 2000 | = | ( | 360 | ÷ | 180 | ) | X |
| Left side of the equation = | 2300 | × | 121 2000 | + | 85 | × | 121 2000 | + | X | × | 121 2000 |
| = | 2783 20 | + | 2057 400 | + | X | × | 121 2000 |
| = | 57717 400 | + | 121 2000 | X |
57717 400 | + | 121 2000 | X | = | ( | 360 | ÷ | 180 | ) | X |
| Right side of the equation = | 360 | ÷ | 180 | × | X |
| = | 2 | X |
57717 400 | + | 121 2000 | X | = | 2 | X |
Transposition :
121 2000 | X | − | 2 | X | = | - | 57717 400 |
Combine the items on the left of the equation:
| - | 3879 2000 | X | = | - | 57717 400 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
57717 400 | = | 3879 2000 | 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 :
3879 2000 | X | = | 57717 400 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 57717 400 | ÷ | 3879 2000 |
| = | 57717 400 | × | 2000 3879 |
| = | 6413 | × | 5 431 |
We obtained :
| X | = | 32065 431 |
Convert the result to decimal form :
| X | = | 74.396752 |