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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 177.411-7.8x = 2.9(3.9x+7.8) .
Question type: Equation
Solution:Original question:
177411 1000 | − | 39 5 | x | = | 29 10 | ( | 39 10 | x | + | 39 5 | ) |
| Right side of the equation = | 29 10 | × | 39 10 | x | + | 29 10 | × | 39 5 |
| = | 1131 100 | x | + | 1131 50 |
177411 1000 | − | 39 5 | x | = | 1131 100 | x | + | 1131 50 |
Transposition :
| - | 39 5 | x | − | 1131 100 | x | = | 1131 50 | − | 177411 1000 |
Combine the items on the left of the equation:
| - | 1911 100 | x | = | 1131 50 | − | 177411 1000 |
Combine the items on the right of the equation:
| - | 1911 100 | x | = | - | 154791 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
154791 1000 | = | 1911 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 :
1911 100 | x | = | 154791 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 154791 1000 | ÷ | 1911 100 |
| = | 154791 1000 | × | 100 1911 |
| = | 81 10 | × | 1 |
We obtained :
| x | = | 81 10 |
Convert the result to decimal form :
| x | = | 8.1 |