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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 (1-0.32)*(9-x)/9.14+0.32*(0.026-x)/0.166 = 0 .
Question type: Equation
Solution:Original question:
| ( | 1 | − | 8 25 | ) | ( | 9 | − | x | ) | ÷ | 457 50 | + | 8 25 | ( | 13 500 | − | x | ) | ÷ | 83 500 | = | 0 |
| Left side of the equation = | ( | 1 | − | 8 25 | ) | ( | 9 | − | x | ) | × | 50 457 | + | 160 83 | ( | 13 500 | − | x | ) |
| ( | 1 | − | 8 25 | ) | ( | 9 | − | x | ) | × | 50 457 | + | 160 83 | ( | 13 500 | − | x | ) | = | 0 |
| Left side of the equation = | 1 | ( | 9 | − | x | ) | × | 50 457 | − | 8 25 | ( | 9 | − | x | ) | × | 50 457 | + | 160 83 | ( | 13 500 | − | x | ) |
| = | 50 457 | ( | 9 | − | x | ) | − | 16 457 | ( | 9 | − | x | ) | + | 160 83 | ( | 13 500 | − | x | ) |
| = | 50 457 | × | 9 | − | 50 457 | x | − | 16 457 | ( | 9 | − | x | ) | + | 160 83 | ( | 13 500 | − | x | ) |
| = | 450 457 | − | 50 457 | x | − | 16 457 | ( | 9 | − | x | ) | + | 160 83 | ( | 13 500 | − | x | ) |
| = | 450 457 | − | 50 457 | x | − | 16 457 | × | 9 | + | 16 457 | x | + | 160 83 | ( | 13 500 | − | x | ) |
| = | 450 457 | − | 50 457 | x | − | 144 457 | + | 16 457 | x | + | 160 83 | ( | 13 500 | − | x | ) |
| = | 306 457 | − | 34 457 | x | + | 160 83 | ( | 13 500 | − | x | ) |
| = | 306 457 | − | 34 457 | x | + | 160 83 | × | 13 500 | − | 160 83 | x |
| = | 306 457 | − | 34 457 | x | + | 104 2075 | − | 160 83 | x |
| = | 682478 948275 | − | 75942 37931 | x |
682478 948275 | − | 75942 37931 | x | = | 0 |
Transposition :
| - | 75942 37931 | x | = | 0 | − | 682478 948275 |
Combine the items on the right of the equation:
| - | 75942 37931 | x | = | - | 682478 948275 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
682478 948275 | = | 75942 37931 | 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 :
75942 37931 | x | = | 682478 948275 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 682478 948275 | ÷ | 75942 37931 |
| = | 682478 948275 | × | 37931 75942 |
| = | 341239 11425 | × | 457 37971 |
We obtained :
| x | = | 155946223 433818675 |
By reducing fraction, we can get:
| x | = | 341239 949275 |
Convert the result to decimal form :
| x | = | 0.359473 |