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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 （3.547538+X/1650）*1000 = 3.71（704+X） .
Question type: Equation
Solution:Original question:
| ( | 1773769 500000 | + | X | ÷ | 1650 | ) | × | 1000 | = | 371 100 | ( | 704 | + | X | ) |
| Left side of the equation = | 1773769 500000 | × | 1000 | + | X | ÷ | 1650 | × | 1000 |
| = | 1773769 500 | + | X | × | 20 33 |
1773769 500 | + | 20 33 | X | = | 371 100 | ( | 704 | + | X | ) |
| Right side of the equation = | 371 100 | × | 704 | + | 371 100 | X |
| = | 65296 25 | + | 371 100 | X |
1773769 500 | + | 20 33 | X | = | 65296 25 | + | 371 100 | X |
Transposition :
20 33 | X | − | 371 100 | X | = | 65296 25 | − | 1773769 500 |
Combine the items on the left of the equation:
| - | 10243 3300 | X | = | 65296 25 | − | 1773769 500 |
Combine the items on the right of the equation:
| - | 10243 3300 | X | = | - | 467849 500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
467849 500 | = | 10243 3300 | 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 :
10243 3300 | X | = | 467849 500 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 467849 500 | ÷ | 10243 3300 |
| = | 467849 500 | × | 3300 10243 |
| = | 467849 5 | × | 33 10243 |
We obtained :
| X | = | 15439017 51215 |
Convert the result to decimal form :
| X | = | 301.454984 |