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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 42.72/（1+（x/12*5)) = 40.03 .
Question type: Equation
Solution:Original question:
1068 25 | ÷ | ( | 1 | + | ( | x | ÷ | 12 | × | 5 | ) | ) | = | 4003 100 |
| Multiply both sides of the equation by: | ( | 1 | + | ( | x | ÷ | 12 | × | 5 | ) | ) |
1068 25 | = | 4003 100 | ( | 1 | + | ( | x | ÷ | 12 | × | 5 | ) | ) |
1068 25 | = | 4003 100 | × | 1 | + | 4003 100 | ( | x | ÷ | 12 | × | 5 | ) |
1068 25 | = | 4003 100 | + | 4003 100 | ( | x | ÷ | 12 | × | 5 | ) |
1068 25 | = | 4003 100 | + | 4003 100 | x | ÷ | 12 | × | 5 |
1068 25 | = | 4003 100 | + | 4003 240 | x |
Transposition :
| - | 4003 240 | x | = | 4003 100 | − | 1068 25 |
Combine the items on the right of the equation:
| - | 4003 240 | x | = | - | 269 100 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
269 100 | = | 4003 240 | 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 :
4003 240 | x | = | 269 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 269 100 | ÷ | 4003 240 |
| = | 269 100 | × | 240 4003 |
| = | 269 5 | × | 12 4003 |
We obtained :
| x | = | 3228 20015 |
Convert the result to decimal form :
| x | = | 0.161279 |