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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: 7 questions will be solved this time.Among them
☆7 equations
[ 1/7 Equation]
Work: Find the solution of equation 3.5（2-0.4x） = 2.1x .
Question type: Equation
Solution:Original question:
7 2 | ( | 2 | − | 2 5 | x | ) | = | 21 10 | x |
| Left side of the equation = | 7 2 | × | 2 | − | 7 2 | × | 2 5 | x |
| = | 7 | − | 7 5 | x |
| 7 | − | 7 5 | x | = | 21 10 | x |
Transposition :
| - | 7 5 | x | − | 21 10 | x | = | - | 7 |
Combine the items on the left of the equation:
| - | 7 2 | x | = | - | 7 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| 7 | = | 7 2 | 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 :
7 2 | x | = | 7 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 7 | ÷ | 7 2 |
| = | 7 | × | 2 7 |
| = | 1 | × | 2 |
We obtained :
| x | = | 2 |
[ 2/7 Equation]
Work: Find the solution of equation 0.6+（x+1.7）/1.2 = 19.2 .
Question type: Equation
Solution:Original question:
3 5 | + | ( | x | + | 17 10 | ) | ÷ | 6 5 | = | 96 5 |
| Left side of the equation = | 3 5 | + | x | × | 5 6 | + | 17 10 | × | 5 6 |
| = | 3 5 | + | x | × | 5 6 | + | 17 12 |
| = | 121 60 | + | 5 6 | x |
121 60 | + | 5 6 | x | = | 96 5 |
Transposition :
5 6 | x | = | 96 5 | − | 121 60 |
Combine the items on the right of the equation:
5 6 | x | = | 1031 60 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1031 60 | ÷ | 5 6 |
| = | 1031 60 | × | 6 5 |
| = | 1031 10 | × | 1 5 |
We obtained :
| x | = | 1031 50 |
Convert the result to decimal form :
| x | = | 20.62 |
[ 3/7 Equation]
Work: Find the solution of equation 4x-4.6+5.4 = 18.6 .
Question type: Equation
Solution:Original question:
| 4 | x | − | 23 5 | + | 27 5 | = | 93 5 |
| Left side of the equation = | 4 | x | + | 4 5 |
| 4 | x | + | 4 5 | = | 93 5 |
Transposition :
| 4 | x | = | 93 5 | − | 4 5 |
Combine the items on the right of the equation:
| 4 | x | = | 89 5 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 89 5 | ÷ | 4 |
| = | 89 5 | × | 1 4 |
We obtained :
| x | = | 89 20 |
Convert the result to decimal form :
| x | = | 4.45 |
[ 4/7 Equation]
Work: Find the solution of equation 0.2（4x-0.4）/2 = 5.52 .
Question type: Equation
Solution:Original question:
1 5 | ( | 4 | x | − | 2 5 | ) | ÷ | 2 | = | 138 25 |
| Left side of the equation = | 1 10 | ( | 4 | x | − | 2 5 | ) |
1 10 | ( | 4 | x | − | 2 5 | ) | = | 138 25 |
| Left side of the equation = | 1 10 | × | 4 | x | − | 1 10 | × | 2 5 |
| = | 2 5 | x | − | 1 25 |
2 5 | x | − | 1 25 | = | 138 25 |
Transposition :
2 5 | x | = | 138 25 | + | 1 25 |
Combine the items on the right of the equation:
2 5 | x | = | 139 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 139 25 | ÷ | 2 5 |
| = | 139 25 | × | 5 2 |
| = | 139 5 | × | 1 2 |
We obtained :
| x | = | 139 10 |
Convert the result to decimal form :
| x | = | 13.9 |
[ 5/7 Equation]
Work: Find the solution of equation （x-8.2+2.8）/2 = 1.8 .
Question type: Equation
Solution:Original question:
| ( | x | − | 41 5 | + | 14 5 | ) | ÷ | 2 | = | 9 5 |
| Left side of the equation = | x | × | 1 2 | − | 41 5 | × | 1 2 | + | 14 5 | × | 1 2 |
| = | x | × | 1 2 | − | 41 10 | + | 7 5 |
| = | 1 2 | x | − | 27 10 |
1 2 | x | − | 27 10 | = | 9 5 |
Transposition :
1 2 | x | = | 9 5 | + | 27 10 |
Combine the items on the right of the equation:
1 2 | x | = | 9 2 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 9 2 | ÷ | 1 2 |
| = | 9 2 | × | 2 |
| = | 9 | × | 1 |
We obtained :
| x | = | 9 |
[ 6/7 Equation]
Work: Find the solution of equation 3.6-9x+1.8 = 9x .
Question type: Equation
Solution:Original question:
18 5 | − | 9 | x | + | 9 5 | = | 9 | x |
| Left side of the equation = | 27 5 | − | 9 | x |
27 5 | − | 9 | x | = | 9 | x |
Transposition :
| - | 9 | x | − | 9 | x | = | - | 27 5 |
Combine the items on the left of the equation:
| - | 18 | x | = | - | 27 5 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
27 5 | = | 18 | 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 :
| 18 | x | = | 27 5 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 27 5 | ÷ | 18 |
| = | 27 5 | × | 1 18 |
| = | 3 5 | × | 1 2 |
We obtained :
| x | = | 3 10 |
Convert the result to decimal form :
| x | = | 0.3 |
[ 7/7 Equation]
Work: Find the solution of equation 0.6x+0.5x = 1-0.9x .
Question type: Equation
Solution:Original question:
3 5 | x | + | 1 2 | x | = | 1 | − | 9 10 | x |
| Left side of the equation = | 11 10 | x |
11 10 | x | = | 1 | − | 9 10 | x |
Transposition :
11 10 | x | + | 9 10 | x | = | 1 |
Combine the items on the left of the equation:
| 2 | x | = | 1 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 1 | ÷ | 2 |
| = | 1 | × | 1 2 |
We obtained :
| x | = | 1 2 |
Convert the result to decimal form :
| x | = | 0.5 |
>>注：本次最多计算 7 道题。