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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 2.4(7.2x+2.8)-56.02 = 7x+2.1 .
Question type: Equation
Solution:Original question:
12 5 | ( | 36 5 | x | + | 14 5 | ) | − | 2801 50 | = | 7 | x | + | 21 10 |
| Left side of the equation = | 12 5 | × | 36 5 | x | + | 12 5 | × | 14 5 | − | 2801 50 |
| = | 432 25 | x | + | 168 25 | − | 2801 50 |
| = | 432 25 | x | − | 493 10 |
432 25 | x | − | 493 10 | = | 7 | x | + | 21 10 |
Transposition :
432 25 | x | − | 7 | x | = | 21 10 | + | 493 10 |
Combine the items on the left of the equation:
257 25 | x | = | 21 10 | + | 493 10 |
Combine the items on the right of the equation:
257 25 | x | = | 257 5 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 257 5 | ÷ | 257 25 |
| = | 257 5 | × | 25 257 |
| = | 257 | × | 5 257 |
We obtained :
| x | = | 1285 257 |
By reducing fraction, we can get:
| x | = | 5 |