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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 -0.6588*(0.5-2x)+0.3*0.5+0.34x+0.396x = 0 .
Question type: Equation
Solution:Original question:
| - | 1647 2500 | ( | 1 2 | − | 2 | x | ) | + | 3 10 | × | 1 2 | + | 17 50 | x | + | 99 250 | x | = | 0 |
| Left side of the equation = | - | 1647 2500 | ( | 1 2 | − | 2 | x | ) | + | 3 20 | + | 17 50 | x | + | 99 250 | x |
| = | - | 1647 2500 | ( | 1 2 | − | 2 | x | ) | + | 3 20 | + | 92 125 | x |
| - | 1647 2500 | ( | 1 2 | − | 2 | x | ) | + | 3 20 | + | 92 125 | x | = | 0 |
| Left side of the equation = | - | 1647 2500 | × | 1 2 | + | 1647 2500 | × | 2 | x | + | 3 20 | + | 92 125 | x |
| = | - | 1647 5000 | + | 1647 1250 | x | + | 3 20 | + | 92 125 | x |
| = | - | 897 5000 | + | 2567 1250 | x |
| - | 897 5000 | + | 2567 1250 | x | = | 0 |
Transposition :
2567 1250 | x | = | 0 | + | 897 5000 |
Combine the items on the right of the equation:
2567 1250 | x | = | 897 5000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 897 5000 | ÷ | 2567 1250 |
| = | 897 5000 | × | 1250 2567 |
| = | 897 4 | × | 1 2567 |
We obtained :
| x | = | 897 10268 |
Convert the result to decimal form :
| x | = | 0.087359 |