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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 328.506-3.4x = 6.2(7.1x+4.8) .
Question type: Equation
Solution:Original question:
164253 500 | − | 17 5 | x | = | 31 5 | ( | 71 10 | x | + | 24 5 | ) |
| Right side of the equation = | 31 5 | × | 71 10 | x | + | 31 5 | × | 24 5 |
| = | 2201 50 | x | + | 744 25 |
164253 500 | − | 17 5 | x | = | 2201 50 | x | + | 744 25 |
Transposition :
| - | 17 5 | x | − | 2201 50 | x | = | 744 25 | − | 164253 500 |
Combine the items on the left of the equation:
| - | 2371 50 | x | = | 744 25 | − | 164253 500 |
Combine the items on the right of the equation:
| - | 2371 50 | x | = | - | 149373 500 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
149373 500 | = | 2371 50 | 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 :
2371 50 | x | = | 149373 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 149373 500 | ÷ | 2371 50 |
| = | 149373 500 | × | 50 2371 |
| = | 149373 10 | × | 1 2371 |
We obtained :
| x | = | 149373 23710 |
Convert the result to decimal form :
| x | = | 6.3 |