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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 0.1260 = x+(x-0.053)(1.4)(1-0.24) .
Question type: Equation
Solution:Original question:
63 500 | = | x | + | ( | x | − | 53 1000 | ) | ( | 7 5 | ) | ( | 1 | − | 6 25 | ) |
| Right side of the equation = | x | + | x | ( | 7 5 | ) | ( | 1 | − | 6 25 | ) | − | 53 1000 | ( | 7 5 | ) | ( | 1 | − | 6 25 | ) |
| = | x | + | x | × | 7 5 | ( | 1 | − | 6 25 | ) | − | 53 1000 | ( | 7 5 | ) | ( | 1 | − | 6 25 | ) |
| = | x | + | x | × | 7 5 | × | 1 | − | x | × | 7 5 | × | 6 25 | − | 53 1000 | ( | 7 5 | ) | ( | 1 | − | 6 25 | ) |
| = | x | + | x | × | 7 5 | − | x | × | 42 125 | − | 53 1000 | ( | 7 5 | ) | ( | 1 | − | 6 25 | ) |
| = | 258 125 | x | − | 53 1000 | ( | 7 5 | ) | ( | 1 | − | 6 25 | ) |
| = | 258 125 | x | − | 53 1000 | × | 7 5 | ( | 1 | − | 6 25 | ) |
| = | 258 125 | x | − | 371 5000 | ( | 1 | − | 6 25 | ) |
| = | 258 125 | x | − | 371 5000 | × | 1 | + | 371 5000 | × | 6 25 |
| = | 258 125 | x | − | 371 5000 | + | 1113 62500 |
| = | 258 125 | x | − | 7049 125000 |
63 500 | = | 258 125 | x | − | 7049 125000 |
Transposition :
| - | 258 125 | x | = | - | 7049 125000 | − | 63 500 |
Combine the items on the right of the equation:
| - | 258 125 | x | = | - | 22799 125000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
22799 125000 | = | 258 125 | 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 :
258 125 | x | = | 22799 125000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 22799 125000 | ÷ | 258 125 |
| = | 22799 125000 | × | 125 258 |
| = | 22799 1000 | × | 1 258 |
We obtained :
| x | = | 22799 258000 |
Convert the result to decimal form :
| x | = | 0.088368 |