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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 （12-x）/(33+22*0.8)-x/24 = (x-0.53)/83.6 .
Question type: Equation
Solution:Original question:
Remove a bracket on the left of the equation:：
Remove a bracket on the right of the equation:：
The equation is reduced to :
Remove a bracket on the left of the equation:
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Remove a bracket on the right of the equation:：
The equation is reduced to :
The equation is reduced to :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （12-x）/(33+22*0.8)-x/24 = (x-0.53)/83.6 .
Question type: Equation
Solution:Original question:
| ( | 12 | − | x | ) | ÷ | ( | 33 | + | 22 | × | 4 5 | ) | − | x | ÷ | 24 | = | ( | x | − | 53 100 | ) | ÷ | 418 5 |
| Multiply both sides of the equation by: | ( | 33 | + | 22 | × | 4 5 | ) |
| ( | 12 | − | x | ) | − | x | ÷ | 24 | × | ( | 33 | + | 22 | × | 4 5 | ) | = | ( | x | − | 53 100 | ) | ÷ | 418 5 | × | ( | 33 | + | 22 | × | 4 5 | ) |
| 12 | − | x | − | x | ÷ | 24 | × | ( | 33 | + | 22 | × | 4 5 | ) | = | ( | x | − | 53 100 | ) | ÷ | 418 5 | × | ( | 33 | + | 22 | × | 4 5 | ) |
| 12 | − | x | − | x | ÷ | 24 | × | ( | 33 | + | 22 | × | 4 5 | ) | = | x | ÷ | 418 5 | × | ( | 33 | + | 22 | × | 4 5 | ) | − | 53 100 | ÷ | 418 5 | × | ( | 33 | + | 22 | × | 4 5 | ) |
| 12 | − | x | − | x | × | 1 24 | ( | 33 | + | 22 | × | 4 5 | ) | = | x | × | 5 418 | ( | 33 | + | 22 | × | 4 5 | ) | − | 53 8360 | ( | 33 | + | 22 | × | 4 5 | ) |
| 12 | − | x | − | x | × | 1 24 | × | 33 | − | x | × | 1 24 | × | 22 | × | 4 5 | = | x | × | 5 418 | ( | 33 | + | 22 | × | 4 5 | ) | − | 53 8360 | ( | 33 | + | 22 | × | 4 5 | ) |
| 12 | − | x | − | x | × | 1 24 | × | 33 | − | x | × | 1 24 | × | 22 | × | 4 5 | = | x | × | 5 418 | × | 33 | + | x | × | 5 418 | × | 22 | × | 4 5 | − | 53 8360 | ( | 33 | + | 22 | × | 4 5 | ) |
| 12 | − | x | − | x | × | 11 8 | − | x | × | 11 15 | = | x | × | 15 38 | + | x | × | 4 19 | − | 53 8360 | ( | 33 | + | 22 | × | 4 5 | ) |
| 12 | − | 373 120 | x | = | 23 38 | x | − | 53 8360 | ( | 33 | + | 22 | × | 4 5 | ) |
| 12 | − | 373 120 | x | = | 23 38 | x | − | 53 8360 | × | 33 | − | 53 8360 | × | 22 | × | 4 5 |
| 12 | − | 373 120 | x | = | 23 38 | x | − | 159 760 | − | 53 475 |
| 12 | − | 373 120 | x | = | 23 38 | x | − | 1219 3800 |
Transposition :
| - | 373 120 | x | − | 23 38 | x | = | - | 1219 3800 | − | 12 |
Combine the items on the left of the equation:
| - | 8467 2280 | x | = | - | 1219 3800 | − | 12 |
Combine the items on the right of the equation:
| - | 8467 2280 | x | = | - | 46819 3800 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
46819 3800 | = | 8467 2280 | 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 :
8467 2280 | x | = | 46819 3800 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 46819 3800 | ÷ | 8467 2280 |
| = | 46819 3800 | × | 2280 8467 |
| = | 46819 5 | × | 3 8467 |
We obtained :
| x | = | 140457 42335 |
Convert the result to decimal form :
| x | = | 3.317751 |