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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 214.26*7*(100-x) = 1214.05*4*(x-45.56) .
Question type: Equation
Solution:Original question:
10713 50 | × | 7 | ( | 100 | − | x | ) | = | 24281 20 | × | 4 | ( | x | − | 1139 25 | ) |
| Left side of the equation = | 74991 50 | ( | 100 | − | x | ) |
74991 50 | ( | 100 | − | x | ) | = | 24281 20 | × | 4 | ( | x | − | 1139 25 | ) |
| Left side of the equation = | 74991 50 | × | 100 | − | 74991 50 | x |
| = | 149982 | − | 74991 50 | x |
| 149982 | − | 74991 50 | x | = | 24281 20 | × | 4 | ( | x | − | 1139 25 | ) |
| Right side of the equation = | 24281 5 | ( | x | − | 1139 25 | ) |
| 149982 | − | 74991 50 | x | = | 24281 5 | ( | x | − | 1139 25 | ) |
| Right side of the equation = | 24281 5 | x | − | 24281 5 | × | 1139 25 |
| = | 24281 5 | x | − | 27656059 125 |
| 149982 | − | 74991 50 | x | = | 24281 5 | x | − | 27656059 125 |
Transposition :
| - | 74991 50 | x | − | 24281 5 | x | = | - | 27656059 125 | − | 149982 |
Combine the items on the left of the equation:
| - | 317801 50 | x | = | - | 27656059 125 | − | 149982 |
Combine the items on the right of the equation:
| - | 317801 50 | x | = | - | 46403809 125 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
46403809 125 | = | 317801 50 | 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 :
317801 50 | x | = | 46403809 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 46403809 125 | ÷ | 317801 50 |
| = | 46403809 125 | × | 50 317801 |
| = | 46403809 5 | × | 2 317801 |
We obtained :
| x | = | 92807618 1589005 |
Convert the result to decimal form :
| x | = | 58.406121 |