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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 0.7x*8.314*523+0.1 = 27.0382*70*(1-x)*2 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
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:
Combine the items on the right 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 0.7x*8.314*523+0.1 = 27.0382*70*(1-x)*2 .
Question type: Equation
Solution:Original question:
7 10 | x | × | 4157 500 | × | 523 | + | 1 10 | = | 135191 5000 | × | 70 | ( | 1 | − | x | ) | × | 2 |
| Left side of the equation = | 15218777 5000 | x | + | 1 10 |
15218777 5000 | x | + | 1 10 | = | 135191 5000 | × | 70 | ( | 1 | − | x | ) | × | 2 |
| Right side of the equation = | 946337 250 | ( | 1 | − | x | ) |
15218777 5000 | x | + | 1 10 | = | 946337 250 | ( | 1 | − | x | ) |
| Right side of the equation = | 946337 250 | × | 1 | − | 946337 250 | x |
| = | 946337 250 | − | 946337 250 | x |
15218777 5000 | x | + | 1 10 | = | 946337 250 | − | 946337 250 | x |
Transposition :
15218777 5000 | x | + | 946337 250 | x | = | 946337 250 | − | 1 10 |
Combine the items on the left of the equation:
34145517 5000 | x | = | 946337 250 | − | 1 10 |
Combine the items on the right of the equation:
34145517 5000 | x | = | 473156 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 473156 125 | ÷ | 34145517 5000 |
| = | 473156 125 | × | 5000 34145517 |
| = | 473156 | × | 40 34145517 |
We obtained :
| x | = | 18926240 34145517 |
Convert the result to decimal form :
| x | = | 0.554282 |