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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 20*3.14*0.5（x-20） = （2*3.14*0.147*（560-x））/0.2231 .
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 :
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 20*3.14*0.5（x-20） = （2*3.14*0.147*（560-x））/0.2231 .
Question type: Equation
Solution:Original question:
| 20 | × | 157 50 | × | 1 2 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 147 1000 | ( | 560 | − | x | ) | ) | ÷ | 2231 10000 |
| Left side of the equation = | 157 5 | ( | x | − | 20 | ) |
157 5 | ( | x | − | 20 | ) | = | ( | 2 | × | 157 50 | × | 147 1000 | ( | 560 | − | x | ) | ) | ÷ | 2231 10000 |
| Left side of the equation = | 157 5 | x | − | 157 5 | × | 20 |
| = | 157 5 | x | − | 628 |
157 5 | x | − | 628 | = | ( | 2 | × | 157 50 | × | 147 1000 | ( | 560 | − | x | ) | ) | ÷ | 2231 10000 |
| Right side of the equation = | 2 | × | 157 50 | × | 147 1000 | ( | 560 | − | x | ) | × | 10000 2231 |
| = | 46158 11155 | ( | 560 | − | x | ) |
| = | 46158 11155 | × | 560 | − | 46158 11155 | x |
| = | 5169696 2231 | − | 46158 11155 | x |
157 5 | x | − | 628 | = | 5169696 2231 | − | 46158 11155 | x |
Transposition :
157 5 | x | + | 46158 11155 | x | = | 5169696 2231 | + | 628 |
Combine the items on the left of the equation:
79285 2231 | x | = | 5169696 2231 | + | 628 |
Combine the items on the right of the equation:
79285 2231 | x | = | 6570764 2231 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 6570764 2231 | ÷ | 79285 2231 |
| = | 6570764 2231 | × | 2231 79285 |
| = | 41852 | × | 1 505 |
We obtained :
| x | = | 41852 505 |
Convert the result to decimal form :
| x | = | 82.875248 |