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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 （157.05-x）×8.22 = （161.9-x）×8.03 .
Question type: Equation
Solution:Original question:
| ( | 3141 20 | − | x | ) | × | 411 50 | = | ( | 1619 10 | − | x | ) | × | 803 100 |
| Left side of the equation = | 3141 20 | × | 411 50 | − | x | × | 411 50 |
| = | 1290951 1000 | − | x | × | 411 50 |
1290951 1000 | − | 411 50 | x | = | ( | 1619 10 | − | x | ) | × | 803 100 |
| Right side of the equation = | 1619 10 | × | 803 100 | − | x | × | 803 100 |
| = | 1300057 1000 | − | x | × | 803 100 |
1290951 1000 | − | 411 50 | x | = | 1300057 1000 | − | 803 100 | x |
Transposition :
| - | 411 50 | x | + | 803 100 | x | = | 1300057 1000 | − | 1290951 1000 |
Combine the items on the left of the equation:
| - | 19 100 | x | = | 1300057 1000 | − | 1290951 1000 |
Combine the items on the right of the equation:
| - | 19 100 | x | = | 4553 500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 4553 500 | = | 19 100 | 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 :
19 100 | x | = | - | 4553 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 4553 500 | ÷ | 19 100 |
| = | - | 4553 500 | × | 100 19 |
| = | - | 4553 5 | × | 1 19 |
We obtained :
| x | = | - | 4553 95 |
Convert the result to decimal form :
| x | = | - 47.926316 |