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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+0.34*0.56*(0.5-x)+0.396*0.44*(0.5-x) = 0 .
Question type: Equation
Solution:Original question:
| - | 1647 2500 | x | + | 3 10 | × | 1 2 | + | 17 50 | × | 14 25 | ( | 1 2 | − | x | ) | + | 99 250 | × | 11 25 | ( | 1 2 | − | x | ) | = | 0 |
| Left side of the equation = | - | 1647 2500 | x | + | 3 20 | + | 119 625 | ( | 1 2 | − | x | ) | + | 1089 6250 | ( | 1 2 | − | x | ) |
| - | 1647 2500 | x | + | 3 20 | + | 119 625 | ( | 1 2 | − | x | ) | + | 1089 6250 | ( | 1 2 | − | x | ) | = | 0 |
| Left side of the equation = | - | 1647 2500 | x | + | 3 20 | + | 119 625 | × | 1 2 | − | 119 625 | x | + | 1089 6250 | ( | 1 2 | − | x | ) |
| = | - | 1647 2500 | x | + | 3 20 | + | 119 1250 | − | 119 625 | x | + | 1089 6250 | ( | 1 2 | − | x | ) |
| = | - | 2123 2500 | x | + | 613 2500 | + | 1089 6250 | ( | 1 2 | − | x | ) |
| = | - | 2123 2500 | x | + | 613 2500 | + | 1089 6250 | × | 1 2 | − | 1089 6250 | x |
| = | - | 2123 2500 | x | + | 613 2500 | + | 1089 12500 | − | 1089 6250 | x |
| = | - | 12793 12500 | x | + | 2077 6250 |
| - | 12793 12500 | x | + | 2077 6250 | = | 0 |
Transposition :
| - | 12793 12500 | x | = | 0 | − | 2077 6250 |
Combine the items on the right of the equation:
| - | 12793 12500 | x | = | - | 2077 6250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
2077 6250 | = | 12793 12500 | 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 :
12793 12500 | x | = | 2077 6250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2077 6250 | ÷ | 12793 12500 |
| = | 2077 6250 | × | 12500 12793 |
| = | 2077 | × | 2 12793 |
We obtained :
| x | = | 4154 12793 |
Convert the result to decimal form :
| x | = | 0.324709 |