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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 （96944-2.5X）*9.6/20.6*0.9 = 21522+8X .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
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 :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
By reducing fraction, we can get:
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation （96944-2.5X）*9.6/20.6*0.9 = 21522+8X .
Question type: Equation
Solution:Original question:
| ( | 96944 | − | 5 2 | X | ) | × | 48 5 | ÷ | 103 5 | × | 9 10 | = | 21522 | + | 8 | X |
| Left side of the equation = | ( | 96944 | − | 5 2 | X | ) | × | 216 515 |
| ( | 96944 | − | 5 2 | X | ) | × | 216 515 | = | 21522 | + | 8 | X |
| Left side of the equation = | 96944 | × | 216 515 | − | 5 2 | X | × | 216 515 |
| = | 20939904 515 | − | 108 103 | X |
20939904 515 | − | 108 103 | X | = | 21522 | + | 8 | X |
Transposition :
| - | 108 103 | X | − | 8 | X | = | 21522 | − | 20939904 515 |
Combine the items on the left of the equation:
| - | 932 103 | X | = | 21522 | − | 20939904 515 |
Combine the items on the right of the equation:
| - | 932 103 | X | = | - | 9856074 515 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
9856074 515 | = | 932 103 | 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 :
932 103 | X | = | 9856074 515 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 9856074 515 | ÷ | 932 103 |
| = | 9856074 515 | × | 103 932 |
| = | 4928037 515 | × | 103 466 |
We obtained :
| X | = | 507587811 239990 |
By reducing fraction, we can get:
| X | = | 4928037 2330 |
Convert the result to decimal form :
| X | = | 2115.037339 |