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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 44x÷106+44*（0.64-x）÷100 = 4.244 .
Question type: Equation
Solution:Original question:
| 44 | x | ÷ | 106 | + | 44 | ( | 16 25 | − | x | ) | ÷ | 100 | = | 1061 250 |
| Left side of the equation = | 22 53 | x | + | 11 25 | ( | 16 25 | − | x | ) |
22 53 | x | + | 11 25 | ( | 16 25 | − | x | ) | = | 1061 250 |
| Left side of the equation = | 22 53 | x | + | 11 25 | × | 16 25 | − | 11 25 | x |
| = | 22 53 | x | + | 176 625 | − | 11 25 | x |
| = | - | 33 1325 | x | + | 176 625 |
| - | 33 1325 | x | + | 176 625 | = | 1061 250 |
Transposition :
| - | 33 1325 | x | = | 1061 250 | − | 176 625 |
Combine the items on the right of the equation:
| - | 33 1325 | x | = | 4953 1250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 4953 1250 | = | 33 1325 | 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 :
33 1325 | x | = | - | 4953 1250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 4953 1250 | ÷ | 33 1325 |
| = | - | 4953 1250 | × | 1325 33 |
| = | - | 1651 50 | × | 53 11 |
We obtained :
| x | = | - | 87503 550 |
Convert the result to decimal form :
| x | = | - 159.096364 |