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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 (1-0.725)*(167-x)/198.8+0.725*(0.026-x)/31.826 = 0 .
Question type: Equation
Solution:Original question:
| ( | 1 | − | 29 40 | ) | ( | 167 | − | x | ) | ÷ | 994 5 | + | 29 40 | ( | 13 500 | − | x | ) | ÷ | 15913 500 | = | 0 |
| Left side of the equation = | ( | 1 | − | 29 40 | ) | ( | 167 | − | x | ) | × | 5 994 | + | 725 31826 | ( | 13 500 | − | x | ) |
| ( | 1 | − | 29 40 | ) | ( | 167 | − | x | ) | × | 5 994 | + | 725 31826 | ( | 13 500 | − | x | ) | = | 0 |
| Left side of the equation = | 1 | ( | 167 | − | x | ) | × | 5 994 | − | 29 40 | ( | 167 | − | x | ) | × | 5 994 | + | 725 31826 | ( | 13 500 | − | x | ) |
| = | 5 994 | ( | 167 | − | x | ) | − | 29 7952 | ( | 167 | − | x | ) | + | 725 31826 | ( | 13 500 | − | x | ) |
| = | 5 994 | × | 167 | − | 5 994 | x | − | 29 7952 | ( | 167 | − | x | ) | + | 725 31826 | ( | 13 500 | − | x | ) |
| = | 835 994 | − | 5 994 | x | − | 29 7952 | ( | 167 | − | x | ) | + | 725 31826 | ( | 13 500 | − | x | ) |
| = | 835 994 | − | 5 994 | x | − | 29 7952 | × | 167 | + | 29 7952 | x | + | 725 31826 | ( | 13 500 | − | x | ) |
| = | 835 994 | − | 5 994 | x | − | 4843 7952 | + | 29 7952 | x | + | 725 31826 | ( | 13 500 | − | x | ) |
| = | 1837 7952 | − | 11 7952 | x | + | 725 31826 | ( | 13 500 | − | x | ) |
| = | 1837 7952 | − | 11 7952 | x | + | 725 31826 | × | 13 500 | − | 725 31826 | x |
| = | 1837 7952 | − | 11 7952 | x | + | 377 636520 | − | 725 31826 | x |
| = | 146535643 632700880 | − | 3057643 126540176 | x |
146535643 632700880 | − | 3057643 126540176 | x | = | 0 |
Transposition :
| - | 3057643 126540176 | x | = | 0 | − | 146535643 632700880 |
Combine the items on the right of the equation:
| - | 3057643 126540176 | x | = | - | 146535643 632700880 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
146535643 632700880 | = | 3057643 126540176 | 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 :
3057643 126540176 | x | = | 146535643 632700880 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 146535643 632700880 | ÷ | 3057643 126540176 |
| = | 146535643 632700880 | × | 126540176 3057643 |
| = | 146535643 79565 | × | 15913 3057643 |
We obtained :
| x | = | 2331821687059 243281365295 |