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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 15980.1 = (15660.25+200)/(1-(3%+X)*90/360) .
Question type: Equation
Solution:Original question:
159801 10 | = | ( | 62641 4 | + | 200 | ) | ÷ | ( | 1 | − | ( | 3 100 | + | X | ) | × | 90 | ÷ | 360 | ) |
| Multiply both sides of the equation by: | ( | 1 | − | ( | 3 100 | + | X | ) | × | 90 | ÷ | 360 | ) |
159801 10 | ( | 1 | − | ( | 3 100 | + | X | ) | × | 90 | ÷ | 360 | ) | = | ( | 62641 4 | + | 200 | ) |
159801 10 | × | 1 | − | 159801 10 | ( | 3 100 | + | X | ) | × | 90 | ÷ | 360 | = | ( | 62641 4 | + | 200 | ) |
159801 10 | × | 1 | − | 159801 10 | ( | 3 100 | + | X | ) | × | 90 | ÷ | 360 | = | 62641 4 | + | 200 |
159801 10 | − | 159801 40 | ( | 3 100 | + | X | ) | = | 62641 4 | + | 200 |
159801 10 | − | 159801 40 | ( | 3 100 | + | X | ) | = | 63441 4 |
159801 10 | − | 159801 40 | × | 3 100 | − | 159801 40 | X | = | 63441 4 |
159801 10 | − | 479403 4000 | − | 159801 40 | X | = | 63441 4 |
63440997 4000 | − | 159801 40 | X | = | 63441 4 |
Transposition :
| - | 159801 40 | X | = | 63441 4 | − | 63440997 4000 |
Combine the items on the right of the equation:
| - | 159801 40 | X | = | 3 4000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 3 4000 | = | 159801 40 | 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 :
159801 40 | X | = | - | 3 4000 |
The coefficient of the unknown number is reduced to 1 :
| X | = | - | 3 4000 | ÷ | 159801 40 |
| = | - | 3 4000 | × | 40 159801 |
| = | - | 1 100 | × | 1 53267 |
We obtained :
| X | = | - | 1 5326700 |
Convert the result to decimal form :
| X | = | - 0 |