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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 429.395-7.9(7.7x+2) = 2.8x .
Question type: Equation
Solution:Original question:
85879 200 | − | 79 10 | ( | 77 10 | x | + | 2 | ) | = | 14 5 | x |
| Left side of the equation = | 85879 200 | − | 79 10 | × | 77 10 | x | − | 79 10 | × | 2 |
| = | 85879 200 | − | 6083 100 | x | − | 79 5 |
| = | 82719 200 | − | 6083 100 | x |
82719 200 | − | 6083 100 | x | = | 14 5 | x |
Transposition :
| - | 6083 100 | x | − | 14 5 | x | = | - | 82719 200 |
Combine the items on the left of the equation:
| - | 6363 100 | x | = | - | 82719 200 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
82719 200 | = | 6363 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 :
6363 100 | x | = | 82719 200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 82719 200 | ÷ | 6363 100 |
| = | 82719 200 | × | 100 6363 |
| = | 1313 2 | × | 1 101 |
We obtained :
| x | = | 1313 202 |
By reducing fraction, we can get:
| x | = | 13 2 |
Convert the result to decimal form :
| x | = | 6.5 |