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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 -0.6588x+0.3*0.5+0.462*(0.5-x) = 0 .
Question type: Equation
Solution:Original question:
| - | 1647 2500 | x | + | 3 10 | × | 1 2 | + | 231 500 | ( | 1 2 | − | x | ) | = | 0 |
| Left side of the equation = | - | 1647 2500 | x | + | 3 20 | + | 231 500 | ( | 1 2 | − | x | ) |
| - | 1647 2500 | x | + | 3 20 | + | 231 500 | ( | 1 2 | − | x | ) | = | 0 |
| Left side of the equation = | - | 1647 2500 | x | + | 3 20 | + | 231 500 | × | 1 2 | − | 231 500 | x |
| = | - | 1647 2500 | x | + | 3 20 | + | 231 1000 | − | 231 500 | x |
| = | - | 1401 1250 | x | + | 381 1000 |
| - | 1401 1250 | x | + | 381 1000 | = | 0 |
Transposition :
| - | 1401 1250 | x | = | 0 | − | 381 1000 |
Combine the items on the right of the equation:
| - | 1401 1250 | x | = | - | 381 1000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
381 1000 | = | 1401 1250 | 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 :
1401 1250 | x | = | 381 1000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 381 1000 | ÷ | 1401 1250 |
| = | 381 1000 | × | 1250 1401 |
| = | 127 4 | × | 5 467 |
We obtained :
| x | = | 635 1868 |
Convert the result to decimal form :
| x | = | 0.339936 |