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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 （0.123/141）（750-x） = 0.7+0.00058（375+x/2） .
Question type: Equation
Solution:Original question:
| ( | 123 1000 | ÷ | 141 | ) | ( | 750 | − | x | ) | = | 7 10 | + | 29 50000 | ( | 375 | + | x | ÷ | 2 | ) |
| Left side of the equation = | 123 1000 | ÷ | 141 | × | ( | 750 | − | x | ) |
| = | 41 47000 | ( | 750 | − | x | ) |
| = | 41 47000 | × | 750 | − | 41 47000 | x |
| = | 123 188 | − | 41 47000 | x |
123 188 | − | 41 47000 | x | = | 7 10 | + | 29 50000 | ( | 375 | + | x | ÷ | 2 | ) |
| Right side of the equation = | 7 10 | + | 29 50000 | × | 375 | + | 29 50000 | x | ÷ | 2 |
| = | 7 10 | + | 87 400 | + | 29 100000 | x |
| = | 367 400 | + | 29 100000 | x |
123 188 | − | 41 47000 | x | = | 367 400 | + | 29 100000 | x |
Transposition :
| - | 41 47000 | x | − | 29 100000 | x | = | 367 400 | − | 123 188 |
Combine the items on the left of the equation:
| - | 5463 4700000 | x | = | 367 400 | − | 123 188 |
Combine the items on the right of the equation:
| - | 5463 4700000 | x | = | 4949 18800 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 4949 18800 | = | 5463 4700000 | 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 :
5463 4700000 | x | = | - | 4949 18800 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 4949 18800 | ÷ | 5463 4700000 |
| = | - | 4949 18800 | × | 4700000 5463 |
| = | - | 4949 | × | 250 5463 |
We obtained :
| x | = | - | 1237250 5463 |
Convert the result to decimal form :
| x | = | - 226.478126 |