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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 5*(x-30) = (130-x)/0.33 .
Question type: Equation
Solution:Original question:
| 5 | ( | x | − | 30 | ) | = | ( | 130 | − | x | ) | ÷ | 33 100 |
| Left side of the equation = | 5 | x | − | 5 | × | 30 |
| = | 5 | x | − | 150 |
| 5 | x | − | 150 | = | ( | 130 | − | x | ) | ÷ | 33 100 |
| Right side of the equation = | 130 | × | 100 33 | − | x | × | 100 33 |
| = | 13000 33 | − | x | × | 100 33 |
| 5 | x | − | 150 | = | 13000 33 | − | 100 33 | x |
Transposition :
| 5 | x | + | 100 33 | x | = | 13000 33 | + | 150 |
Combine the items on the left of the equation:
265 33 | x | = | 13000 33 | + | 150 |
Combine the items on the right of the equation:
265 33 | x | = | 17950 33 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 17950 33 | ÷ | 265 33 |
| = | 17950 33 | × | 33 265 |
| = | 3590 | × | 1 53 |
We obtained :
| x | = | 3590 53 |
Convert the result to decimal form :
| x | = | 67.735849 |