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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 1296x/(529.74×(8.25+x)+208.14-2913.57) = 1.2 .
Question type: Equation
Solution:Original question:
| 1296 | x | ÷ | ( | 26487 50 | ( | 33 4 | + | x | ) | + | 10407 50 | − | 291357 100 | ) | = | 6 5 |
| Multiply both sides of the equation by: | ( | 26487 50 | ( | 33 4 | + | x | ) | + | 10407 50 | − | 291357 100 | ) |
| 1296 | x | = | 6 5 | ( | 26487 50 | ( | 33 4 | + | x | ) | + | 10407 50 | − | 291357 100 | ) |
| 1296 | x | = | 6 5 | × | 26487 50 | ( | 33 4 | + | x | ) | + | 6 5 | × | 10407 50 | − | 6 5 | × | 291357 100 |
| 1296 | x | = | 79461 125 | ( | 33 4 | + | x | ) | + | 31221 125 | − | 874071 250 |
| 1296 | x | = | 79461 125 | ( | 33 4 | + | x | ) | − | 811629 250 |
| 1296 | x | = | 79461 125 | × | 33 4 | + | 79461 125 | x | − | 811629 250 |
| 1296 | x | = | 2622213 500 | + | 79461 125 | x | − | 811629 250 |
| 1296 | x | = | 199791 100 | + | 79461 125 | x |
Transposition :
| 1296 | x | − | 79461 125 | x | = | 199791 100 |
Combine the items on the left of the equation:
82539 125 | x | = | 199791 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 199791 100 | ÷ | 82539 125 |
| = | 199791 100 | × | 125 82539 |
| = | 22199 4 | × | 5 9171 |
We obtained :
| x | = | 110995 36684 |
Convert the result to decimal form :
| x | = | 3.025706 |