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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 2*0.8507*x = 0.8394*（x+0.8507） .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
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 2*0.8507*x = 0.8394*（x+0.8507） .
Question type: Equation
Solution:Original question:
| 2 | × | 8507 10000 | x | = | 4197 5000 | ( | x | + | 8507 10000 | ) |
| Left side of the equation = | 8507 5000 | x |
8507 5000 | x | = | 4197 5000 | ( | x | + | 8507 10000 | ) |
| Right side of the equation = | 4197 5000 | x | + | 4197 5000 | × | 8507 10000 |
| = | 4197 5000 | x | + | 35703879 50000000 |
8507 5000 | x | = | 4197 5000 | x | + | 35703879 50000000 |
Transposition :
8507 5000 | x | − | 4197 5000 | x | = | 35703879 50000000 |
Combine the items on the left of the equation:
431 500 | x | = | 35703879 50000000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 35703879 50000000 | ÷ | 431 500 |
| = | 35703879 50000000 | × | 500 431 |
| = | 35703879 100000 | × | 1 431 |
We obtained :
| x | = | 35703879 43100000 |
Convert the result to decimal form :
| x | = | 0.828396 |