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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 (1-0.36)*(9-x)/9.14+0.36*(0.026-x)/0.166 = 0 .
Question type: Equation
Solution:Original question:
| ( | 1 | − | 9 25 | ) | ( | 9 | − | x | ) | ÷ | 457 50 | + | 9 25 | ( | 13 500 | − | x | ) | ÷ | 83 500 | = | 0 |
| Left side of the equation = | ( | 1 | − | 9 25 | ) | ( | 9 | − | x | ) | × | 50 457 | + | 180 83 | ( | 13 500 | − | x | ) |
| ( | 1 | − | 9 25 | ) | ( | 9 | − | x | ) | × | 50 457 | + | 180 83 | ( | 13 500 | − | x | ) | = | 0 |
| Left side of the equation = | 1 | ( | 9 | − | x | ) | × | 50 457 | − | 9 25 | ( | 9 | − | x | ) | × | 50 457 | + | 180 83 | ( | 13 500 | − | x | ) |
| = | 50 457 | ( | 9 | − | x | ) | − | 18 457 | ( | 9 | − | x | ) | + | 180 83 | ( | 13 500 | − | x | ) |
| = | 50 457 | × | 9 | − | 50 457 | x | − | 18 457 | ( | 9 | − | x | ) | + | 180 83 | ( | 13 500 | − | x | ) |
| = | 450 457 | − | 50 457 | x | − | 18 457 | ( | 9 | − | x | ) | + | 180 83 | ( | 13 500 | − | x | ) |
| = | 450 457 | − | 50 457 | x | − | 18 457 | × | 9 | + | 18 457 | x | + | 180 83 | ( | 13 500 | − | x | ) |
| = | 450 457 | − | 50 457 | x | − | 162 457 | + | 18 457 | x | + | 180 83 | ( | 13 500 | − | x | ) |
| = | 288 457 | − | 32 457 | x | + | 180 83 | ( | 13 500 | − | x | ) |
| = | 288 457 | − | 32 457 | x | + | 180 83 | × | 13 500 | − | 180 83 | x |
| = | 288 457 | − | 32 457 | x | + | 117 2075 | − | 180 83 | x |
| = | 651069 948275 | − | 84916 37931 | x |
651069 948275 | − | 84916 37931 | x | = | 0 |
Transposition :
| - | 84916 37931 | x | = | 0 | − | 651069 948275 |
Combine the items on the right of the equation:
| - | 84916 37931 | x | = | - | 651069 948275 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
651069 948275 | = | 84916 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 :
84916 37931 | x | = | 651069 948275 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 651069 948275 | ÷ | 84916 37931 |
| = | 651069 948275 | × | 37931 84916 |
| = | 651069 11425 | × | 457 84916 |
We obtained :
| x | = | 297538533 970165300 |
By reducing fraction, we can get:
| x | = | 651069 2122900 |
Convert the result to decimal form :
| x | = | 0.306688 |