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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 0.44（14-2x）+0.37(x-3)+0.34x = 11×0.385 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
The equation is transformed into :
Transposition :
Combine the items on the right 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 0.44（14-2x）+0.37(x-3)+0.34x = 11×0.385 .
Question type: Equation
Solution:Original question:
11 25 | ( | 14 | − | 2 | x | ) | + | 37 100 | ( | x | − | 3 | ) | + | 17 50 | x | = | 11 | × | 77 200 |
| Left side of the equation = | 11 25 | × | 14 | − | 11 25 | × | 2 | x | + | 37 100 | ( | x | − | 3 | ) | + | 17 50 | x |
| = | 154 25 | − | 22 25 | x | + | 37 100 | ( | x | − | 3 | ) | + | 17 50 | x |
| = | 154 25 | − | 27 50 | x | + | 37 100 | ( | x | − | 3 | ) |
| = | 154 25 | − | 27 50 | x | + | 37 100 | x | − | 37 100 | × | 3 |
| = | 154 25 | − | 27 50 | x | + | 37 100 | x | − | 111 100 |
| = | 101 20 | − | 17 100 | x |
101 20 | − | 17 100 | x | = | 11 | × | 77 200 |
| Right side of the equation = | 847 200 |
101 20 | − | 17 100 | x | = | 847 200 |
Transposition :
| - | 17 100 | x | = | 847 200 | − | 101 20 |
Combine the items on the right of the equation:
| - | 17 100 | x | = | - | 163 200 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
163 200 | = | 17 100 | 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 :
17 100 | x | = | 163 200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 163 200 | ÷ | 17 100 |
| = | 163 200 | × | 100 17 |
| = | 163 2 | × | 1 17 |
We obtained :
| x | = | 163 34 |
Convert the result to decimal form :
| x | = | 4.794118 |