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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 5720*x+183240 = (-183240/0.282)*(x/500+x/550+x/300-0.24) .
Question type: Equation
Solution:Original question:
| 5720 | x | + | 183240 | = | ( | - | 183240 | ÷ | 141 500 | ) | ( | x | ÷ | 500 | + | x | ÷ | 550 | + | x | ÷ | 300 | − | 6 25 | ) |
| Right side of the equation = | - | 183240 | ÷ | 141 500 | × | ( | x | ÷ | 500 | + | x | ÷ | 550 | + | x | ÷ | 300 | − | 6 25 | ) |
| = | - | 30540000 47 | ( | x | ÷ | 500 | + | x | ÷ | 550 | + | x | ÷ | 300 | − | 6 25 | ) |
| = | - | 30540000 47 | x | ÷ | 500 | − | 30540000 47 | x | ÷ | 550 | − | 30540000 47 | x | ÷ | 300 | + | 30540000 47 | × | 6 25 |
| = | - | 61080 47 | x | − | 610800 517 | x | − | 101800 47 | x | + | 7329600 47 |
| = | - | 2402480 517 | x | + | 7329600 47 |
| 5720 | x | + | 183240 | = | - | 2402480 517 | x | + | 7329600 47 |
Transposition :
| 5720 | x | + | 2402480 517 | x | = | 7329600 47 | − | 183240 |
Combine the items on the left of the equation:
5359720 517 | x | = | 7329600 47 | − | 183240 |
Combine the items on the right of the equation:
5359720 517 | x | = | - | 1282680 47 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 1282680 47 | ÷ | 5359720 517 |
| = | - | 1282680 47 | × | 517 5359720 |
| = | - | 32067 | × | 11 133993 |
We obtained :
| x | = | - | 352737 133993 |
Convert the result to decimal form :
| x | = | - 2.632503 |