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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 6.1(6.8x+1.2)-292.76 = 4.6x+9.6 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left 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.
By reducing fraction, we can get:
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 6.1(6.8x+1.2)-292.76 = 4.6x+9.6 .
Question type: Equation
Solution:Original question:
61 10 | ( | 34 5 | x | + | 6 5 | ) | − | 7319 25 | = | 23 5 | x | + | 48 5 |
| Left side of the equation = | 61 10 | × | 34 5 | x | + | 61 10 | × | 6 5 | − | 7319 25 |
| = | 1037 25 | x | + | 183 25 | − | 7319 25 |
| = | 1037 25 | x | − | 7136 25 |
1037 25 | x | − | 7136 25 | = | 23 5 | x | + | 48 5 |
Transposition :
1037 25 | x | − | 23 5 | x | = | 48 5 | + | 7136 25 |
Combine the items on the left of the equation:
922 25 | x | = | 48 5 | + | 7136 25 |
Combine the items on the right of the equation:
922 25 | x | = | 7376 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 7376 25 | ÷ | 922 25 |
| = | 7376 25 | × | 25 922 |
| = | 3688 | × | 1 461 |
We obtained :
| x | = | 3688 461 |
By reducing fraction, we can get:
| x | = | 8 |