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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 1.95*（x-1000）+341.507*x+17.471（x-550） = 8246027.55 .
Question type: Equation
Solution:Original question:
39 20 | ( | x | − | 1000 | ) | + | 341507 1000 | x | + | 17471 1000 | ( | x | − | 550 | ) | = | 164920551 20 |
| Left side of the equation = | 39 20 | x | − | 39 20 | × | 1000 | + | 341507 1000 | x | + | 17471 1000 | ( | x | − | 550 | ) |
| = | 39 20 | x | − | 1950 | + | 341507 1000 | x | + | 17471 1000 | ( | x | − | 550 | ) |
| = | 343457 1000 | x | − | 1950 | + | 17471 1000 | ( | x | − | 550 | ) |
| = | 343457 1000 | x | − | 1950 | + | 17471 1000 | x | − | 17471 1000 | × | 550 |
| = | 343457 1000 | x | − | 1950 | + | 17471 1000 | x | − | 192181 20 |
| = | 45116 125 | x | − | 231181 20 |
45116 125 | x | − | 231181 20 | = | 164920551 20 |
Transposition :
45116 125 | x | = | 164920551 20 | + | 231181 20 |
Combine the items on the right of the equation:
45116 125 | x | = | 41287933 5 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 41287933 5 | ÷ | 45116 125 |
| = | 41287933 5 | × | 125 45116 |
| = | 41287933 | × | 25 45116 |
We obtained :
| x | = | 1032198325 45116 |
Convert the result to decimal form :
| x | = | 22878.764186 |