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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 1388.16+5.6448+0.72%*x+5+(x-1000)*0.2% = x/1.0672 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
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 1388.16+5.6448+0.72%*x+5+(x-1000)*0.2% = x/1.0672 .
Question type: Equation
Solution:Original question:
34704 25 | + | 3528 625 | + | 18 2500 | x | + | 5 | + | ( | x | − | 1000 | ) | × | 1 500 | = | x | ÷ | 667 625 |
| Left side of the equation = | 874253 625 | + | 18 2500 | x | + | ( | x | − | 1000 | ) | × | 1 500 |
874253 625 | + | 18 2500 | x | + | ( | x | − | 1000 | ) | × | 1 500 | = | x | ÷ | 667 625 |
| Left side of the equation = | 874253 625 | + | 18 2500 | x | + | x | × | 1 500 | − | 1000 | × | 1 500 |
| = | 874253 625 | + | 18 2500 | x | + | x | × | 1 500 | − | 2 |
| = | 873003 625 | + | 23 2500 | x |
873003 625 | + | 23 2500 | x | = | x | ÷ | 667 625 |
Transposition :
23 2500 | x | − | 625 667 | x | = | - | 873003 625 |
Combine the items on the left of the equation:
| - | 1547159 1667500 | x | = | - | 873003 625 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
873003 625 | = | 1547159 1667500 | 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 :
1547159 1667500 | x | = | 873003 625 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 873003 625 | ÷ | 1547159 1667500 |
| = | 873003 625 | × | 1667500 1547159 |
| = | 873003 | × | 2668 1547159 |
We obtained :
| x | = | 2329172004 1547159 |
Convert the result to decimal form :
| x | = | 1505.450961 |