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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 （58-57.1）×（x-0.823） = （57.1-57）×（0.818-x） .
Question type: Equation
Solution:Original question:
| ( | 58 | − | 571 10 | ) | ( | x | − | 823 1000 | ) | = | ( | 571 10 | − | 57 | ) | ( | 409 500 | − | x | ) |
| Left side of the equation = | 58 | ( | x | − | 823 1000 | ) | − | 571 10 | ( | x | − | 823 1000 | ) |
| = | 58 | x | − | 58 | × | 823 1000 | − | 571 10 | ( | x | − | 823 1000 | ) |
| = | 58 | x | − | 23867 500 | − | 571 10 | ( | x | − | 823 1000 | ) |
| = | 58 | x | − | 23867 500 | − | 571 10 | x | + | 571 10 | × | 823 1000 |
| = | 58 | x | − | 23867 500 | − | 571 10 | x | + | 469933 10000 |
| = | 9 10 | x | − | 7407 10000 |
9 10 | x | − | 7407 10000 | = | ( | 571 10 | − | 57 | ) | ( | 409 500 | − | x | ) |
| Right side of the equation = | 571 10 | ( | 409 500 | − | x | ) | − | 57 | ( | 409 500 | − | x | ) |
| = | 571 10 | × | 409 500 | − | 571 10 | x | − | 57 | ( | 409 500 | − | x | ) |
| = | 233539 5000 | − | 571 10 | x | − | 57 | ( | 409 500 | − | x | ) |
| = | 233539 5000 | − | 571 10 | x | − | 57 | × | 409 500 | + | 57 | x |
| = | 233539 5000 | − | 571 10 | x | − | 23313 500 | + | 57 | x |
| = | 409 5000 | − | 1 10 | x |
9 10 | x | − | 7407 10000 | = | 409 5000 | − | 1 10 | x |
Transposition :
9 10 | x | + | 1 10 | x | = | 409 5000 | + | 7407 10000 |
| x | = | 409 5000 | + | 7407 10000 |
Combine the items on the left of the equation:
| x | = | 409 5000 | + | 7407 10000 |
Combine the items on the right of the equation:
| x | = | 329 400 |
This is the solution of the equation.