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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 0.57*（50+6.8x）-0.493*（40+8.5x） = 0 .
Question type: Equation
Solution:Original question:
57 100 | ( | 50 | + | 34 5 | x | ) | − | 493 1000 | ( | 40 | + | 17 2 | x | ) | = | 0 |
| Left side of the equation = | 57 100 | × | 50 | + | 57 100 | × | 34 5 | x | − | 493 1000 | ( | 40 | + | 17 2 | x | ) |
| = | 57 2 | + | 969 250 | x | − | 493 1000 | ( | 40 | + | 17 2 | x | ) |
| = | 57 2 | + | 969 250 | x | − | 493 1000 | × | 40 | − | 493 1000 | × | 17 2 | x |
| = | 57 2 | + | 969 250 | x | − | 493 25 | − | 8381 2000 | x |
| = | 439 50 | − | 629 2000 | x |
439 50 | − | 629 2000 | x | = | 0 |
Transposition :
| - | 629 2000 | x | = | 0 | − | 439 50 |
Combine the items on the right of the equation:
| - | 629 2000 | x | = | - | 439 50 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
439 50 | = | 629 2000 | 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 :
629 2000 | x | = | 439 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 439 50 | ÷ | 629 2000 |
| = | 439 50 | × | 2000 629 |
| = | 439 | × | 40 629 |
We obtained :
| x | = | 17560 629 |
Convert the result to decimal form :
| x | = | 27.917329 |