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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 0.123（750-x） = 141（0.7+（0.00058（（750+x）/2）） ) .
Question type: Equation
Solution:Original question:
123 1000 | ( | 750 | − | x | ) | = | 141 | ( | 7 10 | + | ( | 29 50000 | ( | ( | 750 | + | x | ) | ÷ | 2 | ) | ) | ) |
| Left side of the equation = | 123 1000 | × | 750 | − | 123 1000 | x |
| = | 369 4 | − | 123 1000 | x |
369 4 | − | 123 1000 | x | = | 141 | ( | 7 10 | + | ( | 29 50000 | ( | ( | 750 | + | x | ) | ÷ | 2 | ) | ) | ) |
| Right side of the equation = | 141 | × | 7 10 | + | 141 | ( | 29 50000 | ( | ( | 750 | + | x | ) | ÷ | 2 | ) | ) |
| = | 987 10 | + | 141 | ( | 29 50000 | ( | ( | 750 | + | x | ) | ÷ | 2 | ) | ) |
| = | 987 10 | + | 141 | × | 29 50000 | ( | ( | 750 | + | x | ) | ÷ | 2 | ) |
| = | 987 10 | + | 4089 50000 | ( | ( | 750 | + | x | ) | ÷ | 2 | ) |
| = | 987 10 | + | 4089 50000 | ( | 750 | + | x | ) | ÷ | 2 |
| = | 987 10 | + | 4089 100000 | ( | 750 | + | x | ) |
| = | 987 10 | + | 4089 100000 | × | 750 | + | 4089 100000 | x |
| = | 987 10 | + | 12267 400 | + | 4089 100000 | x |
| = | 51747 400 | + | 4089 100000 | x |
369 4 | − | 123 1000 | x | = | 51747 400 | + | 4089 100000 | x |
Transposition :
| - | 123 1000 | x | − | 4089 100000 | x | = | 51747 400 | − | 369 4 |
Combine the items on the left of the equation:
| - | 16389 100000 | x | = | 51747 400 | − | 369 4 |
Combine the items on the right of the equation:
| - | 16389 100000 | x | = | 14847 400 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 14847 400 | = | 16389 100000 | 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 :
16389 100000 | x | = | - | 14847 400 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 14847 400 | ÷ | 16389 100000 |
| = | - | 14847 400 | × | 100000 16389 |
| = | - | 4949 | × | 250 5463 |
We obtained :
| x | = | - | 1237250 5463 |
Convert the result to decimal form :
| x | = | - 226.478126 |