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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 0.02*(0.147*x-70.8)+0.5*(1.25-2.25) = x .
Question type: Equation
Solution:Original question:
1 50 | ( | 147 1000 | x | − | 354 5 | ) | + | 1 2 | ( | 5 4 | − | 9 4 | ) | = | x |
| Left side of the equation = | 1 50 | × | 147 1000 | x | − | 1 50 | × | 354 5 | + | 1 2 | ( | 5 4 | − | 9 4 | ) |
| = | 147 50000 | x | − | 177 125 | + | 1 2 | ( | 5 4 | − | 9 4 | ) |
| = | 147 50000 | x | − | 177 125 | + | 1 2 | × | 5 4 | − | 1 2 | × | 9 4 |
| = | 147 50000 | x | − | 177 125 | + | 5 8 | − | 9 8 |
| = | 147 50000 | x | − | 479 250 |
147 50000 | x | − | 479 250 | = | x |
Transposition :
147 50000 | x | − | x | = | 479 250 |
Combine the items on the left of the equation:
| - | 49853 50000 | x | = | 479 250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
| - | 479 250 | = | 49853 50000 | 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 :
49853 50000 | x | = | - | 479 250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 479 250 | ÷ | 49853 50000 |
| = | - | 479 250 | × | 50000 49853 |
| = | - | 479 | × | 200 49853 |
We obtained :
| x | = | - | 95800 49853 |
Convert the result to decimal form :
| x | = | - 1.92165 |