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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 (x-80)*(1-33%)/(4000+200) = (x-160)*(1-33%)/4000 .
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 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 :
Remove a bracket on the right of the equation:：
The equation is reduced to :
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.
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (x-80)*(1-33%)/(4000+200) = (x-160)*(1-33%)/4000 .
Question type: Equation
Solution:Original question:
| ( | x | − | 80 | ) | ( | 1 | − | 33 100 | ) | ÷ | ( | 4000 | + | 200 | ) | = | ( | x | − | 160 | ) | ( | 1 | − | 33 100 | ) | ÷ | 4000 |
| Multiply both sides of the equation by: | ( | 4000 | + | 200 | ) |
| ( | x | − | 80 | ) | ( | 1 | − | 33 100 | ) | = | ( | x | − | 160 | ) | ( | 1 | − | 33 100 | ) | ÷ | 4000 | × | ( | 4000 | + | 200 | ) |
| x | ( | 1 | − | 33 100 | ) | − | 80 | ( | 1 | − | 33 100 | ) | = | ( | x | − | 160 | ) | ( | 1 | − | 33 100 | ) | ÷ | 4000 | × | ( | 4000 | + | 200 | ) |
| x | ( | 1 | − | 33 100 | ) | − | 80 | ( | 1 | − | 33 100 | ) | = | x | ( | 1 | − | 33 100 | ) | ÷ | 4000 | × | ( | 4000 | + | 200 | ) | − | 160 | ( | 1 | − | 33 100 | ) | ÷ | 4000 | × | ( | 4000 | + | 200 | ) |
| x | ( | 1 | − | 33 100 | ) | − | 80 | ( | 1 | − | 33 100 | ) | = | x | ( | 1 | − | 33 100 | ) | × | 1 4000 | ( | 4000 | + | 200 | ) | − | 1 25 | ( | 1 | − | 33 100 | ) | ( | 4000 | + | 200 | ) |
| x | × | 1 | − | x | × | 33 100 | − | 80 | ( | 1 | − | 33 100 | ) | = | x | ( | 1 | − | 33 100 | ) | × | 1 4000 | ( | 4000 | + | 200 | ) | − | 1 25 | ( | 1 | − | 33 100 | ) | ( | 4000 | + | 200 | ) |
| x | × | 1 | − | x | × | 33 100 | − | 80 | ( | 1 | − | 33 100 | ) | = | x | × | 1 | × | 1 4000 | ( | 4000 | + | 200 | ) | − | x | × | 33 100 | × | 1 4000 | ( | 4000 | + | 200 | ) | − | 1 25 | ( | 1 | − | 33 100 | ) | ( | 4000 | + | 200 | ) |
| x | × | 1 | − | x | × | 33 100 | − | 80 | ( | 1 | − | 33 100 | ) | = | x | × | 1 4000 | ( | 4000 | + | 200 | ) | − | x | × | 33 400000 | ( | 4000 | + | 200 | ) | − | 1 25 | ( | 1 | − | 33 100 | ) | ( | 4000 | + | 200 | ) |
67 100 | x | − | 80 | ( | 1 | − | 33 100 | ) | = | x | × | 1 4000 | ( | 4000 | + | 200 | ) | − | x | × | 33 400000 | ( | 4000 | + | 200 | ) | − | 1 25 | ( | 1 | − | 33 100 | ) | ( | 4000 | + | 200 | ) |
67 100 | x | − | 80 | × | 1 | + | 80 | × | 33 100 | = | x | × | 1 4000 | ( | 4000 | + | 200 | ) | − | x | × | 33 400000 | ( | 4000 | + | 200 | ) | − | 1 25 | ( | 1 | − | 33 100 | ) | ( | 4000 | + | 200 | ) |
67 100 | x | − | 80 | × | 1 | + | 80 | × | 33 100 | = | x | × | 1 4000 | × | 4000 | + | x | × | 1 4000 | × | 200 | − | x | × | 33 400000 | ( | 4000 | + | 200 | ) | − | 1 25 | ( | 1 | − | 33 100 | ) | ( | 4000 | + | 200 | ) |
67 100 | x | − | 80 | + | 132 5 | = | x | × | 1 | + | x | × | 1 20 | − | x | × | 33 400000 | ( | 4000 | + | 200 | ) | − | 1 25 | ( | 1 | − | 33 100 | ) | ( | 4000 | + | 200 | ) |
67 100 | x | − | 268 5 | = | 21 20 | x | − | x | × | 33 400000 | ( | 4000 | + | 200 | ) | − | 1 25 | ( | 1 | − | 33 100 | ) | ( | 4000 | + | 200 | ) |
67 100 | x | − | 268 5 | = | 21 20 | x | − | x | × | 33 400000 | × | 4000 | − | x | × | 33 400000 | × | 200 | − | 1 25 | ( | 1 | − | 33 100 | ) | ( | 4000 | + | 200 | ) |
67 100 | x | − | 268 5 | = | 21 20 | x | − | x | × | 33 100 | − | x | × | 33 2000 | − | 1 25 | ( | 1 | − | 33 100 | ) | ( | 4000 | + | 200 | ) |
67 100 | x | − | 268 5 | = | 1407 2000 | x | − | 1 25 | ( | 1 | − | 33 100 | ) | ( | 4000 | + | 200 | ) |
67 100 | x | − | 268 5 | = | 1407 2000 | x | − | 1 25 | × | 1 | ( | 4000 | + | 200 | ) | + | 1 25 | × | 33 100 | ( | 4000 | + | 200 | ) |
67 100 | x | − | 268 5 | = | 1407 2000 | x | − | 1 25 | ( | 4000 | + | 200 | ) | + | 33 2500 | ( | 4000 | + | 200 | ) |
67 100 | x | − | 268 5 | = | 1407 2000 | x | − | 1 25 | × | 4000 | − | 1 25 | × | 200 | + | 33 2500 | ( | 4000 | + | 200 | ) |
67 100 | x | − | 268 5 | = | 1407 2000 | x | − | 160 | − | 8 | + | 33 2500 | ( | 4000 | + | 200 | ) |
67 100 | x | − | 268 5 | = | 1407 2000 | x | − | 168 | + | 33 2500 | ( | 4000 | + | 200 | ) |
67 100 | x | − | 268 5 | = | 1407 2000 | x | − | 168 | + | 33 2500 | × | 4000 | + | 33 2500 | × | 200 |
67 100 | x | − | 268 5 | = | 1407 2000 | x | − | 168 | + | 264 5 | + | 66 25 |
67 100 | x | − | 268 5 | = | 1407 2000 | x | − | 2814 25 |
Transposition :
67 100 | x | − | 1407 2000 | x | = | - | 2814 25 | + | 268 5 |
Combine the items on the left of the equation:
| - | 67 2000 | x | = | - | 2814 25 | + | 268 5 |
Combine the items on the right of the equation:
| - | 67 2000 | x | = | - | 1474 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1474 25 | = | 67 2000 | 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 :
67 2000 | x | = | 1474 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1474 25 | ÷ | 67 2000 |
| = | 1474 25 | × | 2000 67 |
| = | 22 | × | 80 |
We obtained :
| x | = | 1760 |