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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 13.65*(x+54) = 12.5*54+15*x .
Question type: Equation
Solution:Original question:
273 20 | ( | x | + | 54 | ) | = | 25 2 | × | 54 | + | 15 | x |
| Left side of the equation = | 273 20 | x | + | 273 20 | × | 54 |
| = | 273 20 | x | + | 7371 10 |
273 20 | x | + | 7371 10 | = | 25 2 | × | 54 | + | 15 | x |
| Right side of the equation = | 675 | + | 15 | x |
273 20 | x | + | 7371 10 | = | 675 | + | 15 | x |
Transposition :
273 20 | x | − | 15 | x | = | 675 | − | 7371 10 |
Combine the items on the left of the equation:
| - | 27 20 | x | = | 675 | − | 7371 10 |
Combine the items on the right of the equation:
| - | 27 20 | x | = | - | 621 10 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
621 10 | = | 27 20 | 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 :
27 20 | x | = | 621 10 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 621 10 | ÷ | 27 20 |
| = | 621 10 | × | 20 27 |
| = | 23 | × | 2 |
We obtained :
| x | = | 46 |