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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 0.4*0.6x = [(0.5+0.5x)*1.07] .
Question type: Equation
Solution:Original question:
2 5 | × | 3 5 | x | = | ( | ( | 1 2 | + | 1 2 | x | ) | × | 107 100 | ) |
| Left side of the equation = | 6 25 | x |
6 25 | x | = | ( | ( | 1 2 | + | 1 2 | x | ) | × | 107 100 | ) |
| Right side of the equation = | ( | 1 2 | + | 1 2 | x | ) | × | 107 100 |
| = | 1 2 | × | 107 100 | + | 1 2 | x | × | 107 100 |
| = | 107 200 | + | 107 200 | x |
6 25 | x | = | 107 200 | + | 107 200 | x |
Transposition :
6 25 | x | − | 107 200 | x | = | 107 200 |
Combine the items on the left of the equation:
| - | 59 200 | x | = | 107 200 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 107 200 | = | 59 200 | 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 :
59 200 | x | = | - | 107 200 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 107 200 | ÷ | 59 200 |
| = | - | 107 200 | × | 200 59 |
| = | - | 107 | × | 1 59 |
We obtained :
| x | = | - | 107 59 |
Convert the result to decimal form :
| x | = | - 1.813559 |