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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 (x+0.73)*5.25*0.897 = x*5.8*1 .
Question type: Equation
Solution:Original question:
| ( | x | + | 73 100 | ) | × | 21 4 | × | 897 1000 | = | x | × | 29 5 | × | 1 |
| Left side of the equation = | ( | x | + | 73 100 | ) | × | 18837 4000 |
| ( | x | + | 73 100 | ) | × | 18837 4000 | = | x | × | 29 5 | × | 1 |
| Left side of the equation = | x | × | 18837 4000 | + | 73 100 | × | 18837 4000 |
| = | x | × | 18837 4000 | + | 1375101 400000 |
18837 4000 | x | + | 1375101 400000 | = | x | × | 29 5 | × | 1 |
| Right side of the equation = | x | × | 29 5 |
18837 4000 | x | + | 1375101 400000 | = | 29 5 | x |
Transposition :
18837 4000 | x | − | 29 5 | x | = | - | 1375101 400000 |
Combine the items on the left of the equation:
| - | 4363 4000 | x | = | - | 1375101 400000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1375101 400000 | = | 4363 4000 | 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 :
4363 4000 | x | = | 1375101 400000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1375101 400000 | ÷ | 4363 4000 |
| = | 1375101 400000 | × | 4000 4363 |
| = | 1375101 100 | × | 1 4363 |
We obtained :
| x | = | 1375101 436300 |
Convert the result to decimal form :
| x | = | 3.151733 |