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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 5%x+5%*3.5%x+0.05%x+6%x+14.204%x = 5%x+5%*3.5%x+0.05%x+6%x+x-160-14.55%x*0.2 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
The equation is transformed into :
Transposition :
Combine the items on the left 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 5%x+5%*3.5%x+0.05%x+6%x+14.204%x = 5%x+5%*3.5%x+0.05%x+6%x+x-160-14.55%x*0.2 .
Question type: Equation
Solution:Original question:
5 100 | x | + | 5 100 | × | 7 200 | x | + | 1 2000 | x | + | 6 100 | x | + | 3551 25000 | x | = | 5 100 | x | + | 5 100 | × | 7 200 | x | + | 1 2000 | x | + | 6 100 | x | + | x | − | 160 | − | 291 2000 |
| Left side of the equation = | 5 100 | x | + | 7 4000 | x | + | 1 2000 | x | + | 6 100 | x | + | 3551 25000 | x |
| = | 25429 100000 | x |
25429 100000 | x | = | 5 100 | x | + | 5 100 | × | 7 200 | x | + | 1 2000 | x | + | 6 100 | x | + | x | − | 160 | − | 291 2000 |
| Right side of the equation = | 5 100 | x | + | 7 4000 | x | + | 1 2000 | x | + | 6 100 | x | + | x | − | 160 | − | 291 10000 | x |
| = | 21663 20000 | x | − | 160 |
25429 100000 | x | = | 21663 20000 | x | − | 160 |
Transposition :
25429 100000 | x | − | 21663 20000 | x | = | - | 160 |
Combine the items on the left of the equation:
| - | 41443 50000 | x | = | - | 160 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 160 | = | 41443 50000 | 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 :
41443 50000 | x | = | 160 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 160 | ÷ | 41443 50000 |
| = | 160 | × | 50000 41443 |
We obtained :
| x | = | 8000000 41443 |
Convert the result to decimal form :
| x | = | 193.036218 |