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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 0.73/(100000/(39613305+x)*(1+0.555)*0.65) = x .
Question type: Equation
Solution:Original question:
73 100 | ÷ | ( | 100000 | ÷ | ( | 39613305 | + | x | ) | × | ( | 1 | + | 111 200 | ) | × | 13 20 | ) | = | x |
| Multiply both sides of the equation by: | ( | 100000 | ÷ | ( | 39613305 | + | x | ) | × | ( | 1 | + | 111 200 | ) | × | 13 20 | ) |
73 100 | = | x | ( | 100000 | ÷ | ( | 39613305 | + | x | ) | × | ( | 1 | + | 111 200 | ) | × | 13 20 | ) |
73 100 | = | x | × | 100000 | ÷ | ( | 39613305 | + | x | ) | × | ( | 1 | + | 111 200 | ) | × | 13 20 |
73 100 | = | x | × | 65000 | ÷ | ( | 39613305 | + | x | ) | × | ( | 1 | + | 111 200 | ) |
| Multiply both sides of the equation by: | ( | 39613305 | + | x | ) |
73 100 | ( | 39613305 | + | x | ) | = | x | × | 65000 | ( | 1 | + | 111 200 | ) |
73 100 | × | 39613305 | + | 73 100 | x | = | x | × | 65000 | ( | 1 | + | 111 200 | ) |
73 100 | × | 39613305 | + | 73 100 | x | = | x | × | 65000 | × | 1 | + | x | × | 65000 | × | 111 200 |
578354253 20 | + | 73 100 | x | = | x | × | 65000 | + | x | × | 36075 |
578354253 20 | + | 73 100 | x | = | 101075 | x |
Transposition :
73 100 | x | − | 101075 | x | = | - | 578354253 20 |
Combine the items on the left of the equation:
| - | 10107427 100 | x | = | - | 578354253 20 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
578354253 20 | = | 10107427 100 | 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 :
10107427 100 | x | = | 578354253 20 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 578354253 20 | ÷ | 10107427 100 |
| = | 578354253 20 | × | 100 10107427 |
| = | 578354253 | × | 5 10107427 |
We obtained :
| x | = | 2891771265 10107427 |
Convert the result to decimal form :
| x | = | 286.103601 |