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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 （84339-1.5X）*8.4/20.4*0.9 = 19522+7X .
Question type: Equation
Solution:Original question:
| ( | 84339 | − | 3 2 | X | ) | × | 42 5 | ÷ | 102 5 | × | 9 10 | = | 19522 | + | 7 | X |
| Left side of the equation = | ( | 84339 | − | 3 2 | X | ) | × | 63 170 |
| ( | 84339 | − | 3 2 | X | ) | × | 63 170 | = | 19522 | + | 7 | X |
| Left side of the equation = | 84339 | × | 63 170 | − | 3 2 | X | × | 63 170 |
| = | 5313357 170 | − | 189 340 | X |
5313357 170 | − | 189 340 | X | = | 19522 | + | 7 | X |
Transposition :
| - | 189 340 | X | − | 7 | X | = | 19522 | − | 5313357 170 |
Combine the items on the left of the equation:
| - | 2569 340 | X | = | 19522 | − | 5313357 170 |
Combine the items on the right of the equation:
| - | 2569 340 | X | = | - | 1994617 170 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
1994617 170 | = | 2569 340 | 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 :
2569 340 | X | = | 1994617 170 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 1994617 170 | ÷ | 2569 340 |
| = | 1994617 170 | × | 340 2569 |
| = | 1994617 | × | 2 2569 |
We obtained :
| X | = | 3989234 2569 |
Convert the result to decimal form :
| X | = | 1552.835344 |