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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 （15234.375－S）×0.4033/1.06 = 12187.5－S .
Question type: Equation
Solution:Original question:
| ( | 121875 8 | − | S | ) | × | 4033 10000 | ÷ | 53 50 | = | 24375 2 | − | S |
| Left side of the equation = | ( | 121875 8 | − | S | ) | × | 4033 10600 |
| ( | 121875 8 | − | S | ) | × | 4033 10600 | = | 24375 2 | − | S |
| Left side of the equation = | 121875 8 | × | 4033 10600 | − | S | × | 4033 10600 |
| = | 19660875 3392 | − | S | × | 4033 10600 |
19660875 3392 | − | 4033 10600 | S | = | 24375 2 | − | S |
Transposition :
| - | 4033 10600 | S | + | S | = | 24375 2 | − | 19660875 3392 |
Combine the items on the left of the equation:
| - | - | 6567 10600 | S | = | 24375 2 | − | 19660875 3392 |
Combine the items on the right of the equation:
| - | - | 6567 10600 | S | = | 21679125 3392 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 21679125 3392 | = | - | 6567 10600 | S |
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 :
| - | 6567 10600 | S | = | - | 21679125 3392 |
The coefficient of the unknown number is reduced to 1 :
| S | = | 21679125 3392 | ÷ | 6567 10600 |
| = | 21679125 3392 | × | 10600 6567 |
| = | 7226375 424 | × | 1325 2189 |
We obtained :
| S | = | 9574946875 928136 |
By reducing fraction, we can get:
| S | = | 180659375 17512 |
Convert the result to decimal form :
| S | = | 10316.31881 |